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Finding the Fourth Proportional to 9,747.96, 14,602.50 and 7,411.92

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Solution

The fourth proportional to 9,747.96, 14,602.50 and 7,411.92 is: 11,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.96 : 14,602.50 = 7,411.92 : x
  2. Step 2: Convert to fraction form
    9,747.96/14,602.50 = 7,411.92/x
  3. Step 3: Cross multiply
    9,747.96x = 14,602.50 × 7,411.92
  4. Step 4: Simplify right side
    9,747.96x = 108,232,561.80
  5. Step 5: Solve for x
    x = 108,232,561.80/9,747.96
  6. Step 6: Final answer
    x = 11,103.10

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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.