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Finding the Fourth Proportional to 6,507.12, 8,981.24 and 4,116.95

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Solution

The fourth proportional to 6,507.12, 8,981.24 and 4,116.95 is: 5,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.12 : 8,981.24 = 4,116.95 : x
  2. Step 2: Convert to fraction form
    6,507.12/8,981.24 = 4,116.95/x
  3. Step 3: Cross multiply
    6,507.12x = 8,981.24 × 4,116.95
  4. Step 4: Simplify right side
    6,507.12x = 36,975,316.02
  5. Step 5: Solve for x
    x = 36,975,316.02/6,507.12
  6. Step 6: Final answer
    x = 5,682.29

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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.