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Finding the Fourth Proportional to 10,563.04, 15,824.40 and 6,404.32

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Solution

The fourth proportional to 10,563.04, 15,824.40 and 6,404.32 is: 9,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.04 : 15,824.40 = 6,404.32 : x
  2. Step 2: Convert to fraction form
    10,563.04/15,824.40 = 6,404.32/x
  3. Step 3: Cross multiply
    10,563.04x = 15,824.40 × 6,404.32
  4. Step 4: Simplify right side
    10,563.04x = 101,344,521.41
  5. Step 5: Solve for x
    x = 101,344,521.41/10,563.04
  6. Step 6: Final answer
    x = 9,594.26

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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.