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Finding the Fourth Proportional to 9,688.80, 14,534.90 and 5,007.50

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Solution

The fourth proportional to 9,688.80, 14,534.90 and 5,007.50 is: 7,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.80 : 14,534.90 = 5,007.50 : x
  2. Step 2: Convert to fraction form
    9,688.80/14,534.90 = 5,007.50/x
  3. Step 3: Cross multiply
    9,688.80x = 14,534.90 × 5,007.50
  4. Step 4: Simplify right side
    9,688.80x = 72,783,511.75
  5. Step 5: Solve for x
    x = 72,783,511.75/9,688.80
  6. Step 6: Final answer
    x = 7,512.13

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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.