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Finding the Fourth Proportional to 7,566.75, 10,443.47 and 7,234.65

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Solution

The fourth proportional to 7,566.75, 10,443.47 and 7,234.65 is: 9,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.75 : 10,443.47 = 7,234.65 : x
  2. Step 2: Convert to fraction form
    7,566.75/10,443.47 = 7,234.65/x
  3. Step 3: Cross multiply
    7,566.75x = 10,443.47 × 7,234.65
  4. Step 4: Simplify right side
    7,566.75x = 75,554,814.06
  5. Step 5: Solve for x
    x = 75,554,814.06/7,566.75
  6. Step 6: Final answer
    x = 9,985.11

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Half scale
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Double scale
Find fourth proportional to 7,567.75, 10,444.85 and 7,235.65
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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.