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Finding the Fourth Proportional to 10,632.48, 15,948.72 and 3,237

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Solution

The fourth proportional to 10,632.48, 15,948.72 and 3,237 is: 4,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.48 : 15,948.72 = 3,237 : x
  2. Step 2: Convert to fraction form
    10,632.48/15,948.72 = 3,237/x
  3. Step 3: Cross multiply
    10,632.48x = 15,948.72 × 3,237
  4. Step 4: Simplify right side
    10,632.48x = 51,626,006.64
  5. Step 5: Solve for x
    x = 51,626,006.64/10,632.48
  6. Step 6: Final answer
    x = 4,855.50

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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.