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Finding the Fourth Proportional to 10,137.10, 15,205.65 and 5,763.10

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Solution

The fourth proportional to 10,137.10, 15,205.65 and 5,763.10 is: 8,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.10 : 15,205.65 = 5,763.10 : x
  2. Step 2: Convert to fraction form
    10,137.10/15,205.65 = 5,763.10/x
  3. Step 3: Cross multiply
    10,137.10x = 15,205.65 × 5,763.10
  4. Step 4: Simplify right side
    10,137.10x = 87,631,681.52
  5. Step 5: Solve for x
    x = 87,631,681.52/10,137.10
  6. Step 6: Final answer
    x = 8,644.65

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Double scale
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Similar ratio
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1.5x scale

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.