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Finding the Fourth Proportional to 10,880.52, 15,015 and 6,164.82

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Solution

The fourth proportional to 10,880.52, 15,015 and 6,164.82 is: 8,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.52 : 15,015 = 6,164.82 : x
  2. Step 2: Convert to fraction form
    10,880.52/15,015 = 6,164.82/x
  3. Step 3: Cross multiply
    10,880.52x = 15,015 × 6,164.82
  4. Step 4: Simplify right side
    10,880.52x = 92,564,772.30
  5. Step 5: Solve for x
    x = 92,564,772.30/10,880.52
  6. Step 6: Final answer
    x = 8,507.38

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Double scale
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1.5x scale

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.