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Finding the Fourth Proportional to 7,956.16, 10,978.98 and 4,419.12

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Solution

The fourth proportional to 7,956.16, 10,978.98 and 4,419.12 is: 6,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.16 : 10,978.98 = 4,419.12 : x
  2. Step 2: Convert to fraction form
    7,956.16/10,978.98 = 4,419.12/x
  3. Step 3: Cross multiply
    7,956.16x = 10,978.98 × 4,419.12
  4. Step 4: Simplify right side
    7,956.16x = 48,517,430.10
  5. Step 5: Solve for x
    x = 48,517,430.10/7,956.16
  6. Step 6: Final answer
    x = 6,098.10

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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.