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Finding the Fourth Proportional to 9,157.64, 13,740.24 and 4,411.40

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Solution

The fourth proportional to 9,157.64, 13,740.24 and 4,411.40 is: 6,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.64 : 13,740.24 = 4,411.40 : x
  2. Step 2: Convert to fraction form
    9,157.64/13,740.24 = 4,411.40/x
  3. Step 3: Cross multiply
    9,157.64x = 13,740.24 × 4,411.40
  4. Step 4: Simplify right side
    9,157.64x = 60,613,694.74
  5. Step 5: Solve for x
    x = 60,613,694.74/9,157.64
  6. Step 6: Final answer
    x = 6,618.92

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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.