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Finding the Fourth Proportional to 9,829.91, 14,754.13 and 6,545.30

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Solution

The fourth proportional to 9,829.91, 14,754.13 and 6,545.30 is: 9,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.91 : 14,754.13 = 6,545.30 : x
  2. Step 2: Convert to fraction form
    9,829.91/14,754.13 = 6,545.30/x
  3. Step 3: Cross multiply
    9,829.91x = 14,754.13 × 6,545.30
  4. Step 4: Simplify right side
    9,829.91x = 96,570,116.96
  5. Step 5: Solve for x
    x = 96,570,116.96/9,829.91
  6. Step 6: Final answer
    x = 9,824.11

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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.