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Finding the Fourth Proportional to 15,866.10, 23,798.48 and 6,503.04

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Solution

The fourth proportional to 15,866.10, 23,798.48 and 6,503.04 is: 9,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.10 : 23,798.48 = 6,503.04 : x
  2. Step 2: Convert to fraction form
    15,866.10/23,798.48 = 6,503.04/x
  3. Step 3: Cross multiply
    15,866.10x = 23,798.48 × 6,503.04
  4. Step 4: Simplify right side
    15,866.10x = 154,762,434.86
  5. Step 5: Solve for x
    x = 154,762,434.86/15,866.10
  6. Step 6: Final answer
    x = 9,754.28

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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.