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Finding the Fourth Proportional to 9,035.74, 12,465.98 and 5,631.20

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Solution

The fourth proportional to 9,035.74, 12,465.98 and 5,631.20 is: 7,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.74 : 12,465.98 = 5,631.20 : x
  2. Step 2: Convert to fraction form
    9,035.74/12,465.98 = 5,631.20/x
  3. Step 3: Cross multiply
    9,035.74x = 12,465.98 × 5,631.20
  4. Step 4: Simplify right side
    9,035.74x = 70,198,398.42
  5. Step 5: Solve for x
    x = 70,198,398.42/9,035.74
  6. Step 6: Final answer
    x = 7,768.97

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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.