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Finding the Fourth Proportional to 10,567.85, 15,842.85 and 6,663.65

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Solution

The fourth proportional to 10,567.85, 15,842.85 and 6,663.65 is: 9,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.85 : 15,842.85 = 6,663.65 : x
  2. Step 2: Convert to fraction form
    10,567.85/15,842.85 = 6,663.65/x
  3. Step 3: Cross multiply
    10,567.85x = 15,842.85 × 6,663.65
  4. Step 4: Simplify right side
    10,567.85x = 105,571,207.40
  5. Step 5: Solve for x
    x = 105,571,207.40/10,567.85
  6. Step 6: Final answer
    x = 9,989.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.