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Finding the Fourth Proportional to 9,202.65, 12,703.74 and 6,220.23

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Solution

The fourth proportional to 9,202.65, 12,703.74 and 6,220.23 is: 8,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.65 : 12,703.74 = 6,220.23 : x
  2. Step 2: Convert to fraction form
    9,202.65/12,703.74 = 6,220.23/x
  3. Step 3: Cross multiply
    9,202.65x = 12,703.74 × 6,220.23
  4. Step 4: Simplify right side
    9,202.65x = 79,020,184.66
  5. Step 5: Solve for x
    x = 79,020,184.66/9,202.65
  6. Step 6: Final answer
    x = 8,586.68

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.