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Finding the Fourth Proportional to 9,130.96, 13,691.64 and 4,737.68

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Solution

The fourth proportional to 9,130.96, 13,691.64 and 4,737.68 is: 7,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.96 : 13,691.64 = 4,737.68 : x
  2. Step 2: Convert to fraction form
    9,130.96/13,691.64 = 4,737.68/x
  3. Step 3: Cross multiply
    9,130.96x = 13,691.64 × 4,737.68
  4. Step 4: Simplify right side
    9,130.96x = 64,866,609.00
  5. Step 5: Solve for x
    x = 64,866,609.00/9,130.96
  6. Step 6: Final answer
    x = 7,104.03

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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.