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Finding the Fourth Proportional to 15,796.16, 23,689.92 and 6,560

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Solution

The fourth proportional to 15,796.16, 23,689.92 and 6,560 is: 9,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796.16 : 23,689.92 = 6,560 : x
  2. Step 2: Convert to fraction form
    15,796.16/23,689.92 = 6,560/x
  3. Step 3: Cross multiply
    15,796.16x = 23,689.92 × 6,560
  4. Step 4: Simplify right side
    15,796.16x = 155,405,875.20
  5. Step 5: Solve for x
    x = 155,405,875.20/15,796.16
  6. Step 6: Final answer
    x = 9,838.21

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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.