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Finding the Fourth Proportional to 9,737.50, 13,437.76 and 5,321.50

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Solution

The fourth proportional to 9,737.50, 13,437.76 and 5,321.50 is: 7,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.50 : 13,437.76 = 5,321.50 : x
  2. Step 2: Convert to fraction form
    9,737.50/13,437.76 = 5,321.50/x
  3. Step 3: Cross multiply
    9,737.50x = 13,437.76 × 5,321.50
  4. Step 4: Simplify right side
    9,737.50x = 71,509,039.84
  5. Step 5: Solve for x
    x = 71,509,039.84/9,737.50
  6. Step 6: Final answer
    x = 7,343.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.