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Finding the Fourth Proportional to 9,157.66, 13,734.66 and 5,410.84

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Solution

The fourth proportional to 9,157.66, 13,734.66 and 5,410.84 is: 8,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.66 : 13,734.66 = 5,410.84 : x
  2. Step 2: Convert to fraction form
    9,157.66/13,734.66 = 5,410.84/x
  3. Step 3: Cross multiply
    9,157.66x = 13,734.66 × 5,410.84
  4. Step 4: Simplify right side
    9,157.66x = 74,316,047.71
  5. Step 5: Solve for x
    x = 74,316,047.71/9,157.66
  6. Step 6: Final answer
    x = 8,115.18

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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.