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Finding the Fourth Proportional to 10,808.16, 14,915.56 and 6,560

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Solution

The fourth proportional to 10,808.16, 14,915.56 and 6,560 is: 9,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.16 : 14,915.56 = 6,560 : x
  2. Step 2: Convert to fraction form
    10,808.16/14,915.56 = 6,560/x
  3. Step 3: Cross multiply
    10,808.16x = 14,915.56 × 6,560
  4. Step 4: Simplify right side
    10,808.16x = 97,846,073.60
  5. Step 5: Solve for x
    x = 97,846,073.60/10,808.16
  6. Step 6: Final answer
    x = 9,052.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.