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Finding the Fourth Proportional to 9,781.65, 14,601.44 and 9,060.75

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Solution

The fourth proportional to 9,781.65, 14,601.44 and 9,060.75 is: 13,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.65 : 14,601.44 = 9,060.75 : x
  2. Step 2: Convert to fraction form
    9,781.65/14,601.44 = 9,060.75/x
  3. Step 3: Cross multiply
    9,781.65x = 14,601.44 × 9,060.75
  4. Step 4: Simplify right side
    9,781.65x = 132,300,020.13
  5. Step 5: Solve for x
    x = 132,300,020.13/9,781.65
  6. Step 6: Final answer
    x = 13,525.33

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.