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Finding the Fourth Proportional to 7,160.64, 9,882.72 and 4,017.12

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Solution

The fourth proportional to 7,160.64, 9,882.72 and 4,017.12 is: 5,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.64 : 9,882.72 = 4,017.12 : x
  2. Step 2: Convert to fraction form
    7,160.64/9,882.72 = 4,017.12/x
  3. Step 3: Cross multiply
    7,160.64x = 9,882.72 × 4,017.12
  4. Step 4: Simplify right side
    7,160.64x = 39,700,072.17
  5. Step 5: Solve for x
    x = 39,700,072.17/7,160.64
  6. Step 6: Final answer
    x = 5,544.21

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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.