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Finding the Fourth Proportional to 8,411.07, 12,607.18 and 3,412.28

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Solution

The fourth proportional to 8,411.07, 12,607.18 and 3,412.28 is: 5,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.07 : 12,607.18 = 3,412.28 : x
  2. Step 2: Convert to fraction form
    8,411.07/12,607.18 = 3,412.28/x
  3. Step 3: Cross multiply
    8,411.07x = 12,607.18 × 3,412.28
  4. Step 4: Simplify right side
    8,411.07x = 43,019,251.16
  5. Step 5: Solve for x
    x = 43,019,251.16/8,411.07
  6. Step 6: Final answer
    x = 5,114.60

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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.