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Finding the Fourth Proportional to 9,792.59, 14,688.89 and 5,638.91

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Solution

The fourth proportional to 9,792.59, 14,688.89 and 5,638.91 is: 8,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.59 : 14,688.89 = 5,638.91 : x
  2. Step 2: Convert to fraction form
    9,792.59/14,688.89 = 5,638.91/x
  3. Step 3: Cross multiply
    9,792.59x = 14,688.89 × 5,638.91
  4. Step 4: Simplify right side
    9,792.59x = 82,829,358.38
  5. Step 5: Solve for x
    x = 82,829,358.38/9,792.59
  6. Step 6: Final answer
    x = 8,458.37

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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.