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Finding the Fourth Proportional to 9,737.10, 14,584.05 and 9,737.10

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Solution

The fourth proportional to 9,737.10, 14,584.05 and 9,737.10 is: 14,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.10 : 14,584.05 = 9,737.10 : x
  2. Step 2: Convert to fraction form
    9,737.10/14,584.05 = 9,737.10/x
  3. Step 3: Cross multiply
    9,737.10x = 14,584.05 × 9,737.10
  4. Step 4: Simplify right side
    9,737.10x = 142,006,353.26
  5. Step 5: Solve for x
    x = 142,006,353.26/9,737.10
  6. Step 6: Final answer
    x = 14,584.05

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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.