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Finding the Fourth Proportional to 9,737.40, 14,627.70 and 9,478.20

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Solution

The fourth proportional to 9,737.40, 14,627.70 and 9,478.20 is: 14,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.40 : 14,627.70 = 9,478.20 : x
  2. Step 2: Convert to fraction form
    9,737.40/14,627.70 = 9,478.20/x
  3. Step 3: Cross multiply
    9,737.40x = 14,627.70 × 9,478.20
  4. Step 4: Simplify right side
    9,737.40x = 138,644,266.14
  5. Step 5: Solve for x
    x = 138,644,266.14/9,737.40
  6. Step 6: Final answer
    x = 14,238.33

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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.