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Finding the Fourth Proportional to 9,035.68, 12,469.12 and 5,056.76

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Solution

The fourth proportional to 9,035.68, 12,469.12 and 5,056.76 is: 6,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.68 : 12,469.12 = 5,056.76 : x
  2. Step 2: Convert to fraction form
    9,035.68/12,469.12 = 5,056.76/x
  3. Step 3: Cross multiply
    9,035.68x = 12,469.12 × 5,056.76
  4. Step 4: Simplify right side
    9,035.68x = 63,053,347.25
  5. Step 5: Solve for x
    x = 63,053,347.25/9,035.68
  6. Step 6: Final answer
    x = 6,978.26

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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.