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Finding the Fourth Proportional to 10,324.71, 15,487.02 and 2,533.50

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Solution

The fourth proportional to 10,324.71, 15,487.02 and 2,533.50 is: 3,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.71 : 15,487.02 = 2,533.50 : x
  2. Step 2: Convert to fraction form
    10,324.71/15,487.02 = 2,533.50/x
  3. Step 3: Cross multiply
    10,324.71x = 15,487.02 × 2,533.50
  4. Step 4: Simplify right side
    10,324.71x = 39,236,365.17
  5. Step 5: Solve for x
    x = 39,236,365.17/10,324.71
  6. Step 6: Final answer
    x = 3,800.24

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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.