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Finding the Fourth Proportional to 10,307.70, 15,465.60 and 6,149.70

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Solution

The fourth proportional to 10,307.70, 15,465.60 and 6,149.70 is: 9,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.70 : 15,465.60 = 6,149.70 : x
  2. Step 2: Convert to fraction form
    10,307.70/15,465.60 = 6,149.70/x
  3. Step 3: Cross multiply
    10,307.70x = 15,465.60 × 6,149.70
  4. Step 4: Simplify right side
    10,307.70x = 95,108,800.32
  5. Step 5: Solve for x
    x = 95,108,800.32/10,307.70
  6. Step 6: Final answer
    x = 9,226.97

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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.