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Finding the Fourth Proportional to 7,102.71, 10,654.05 and 2,720.16

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Solution

The fourth proportional to 7,102.71, 10,654.05 and 2,720.16 is: 4,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.71 : 10,654.05 = 2,720.16 : x
  2. Step 2: Convert to fraction form
    7,102.71/10,654.05 = 2,720.16/x
  3. Step 3: Cross multiply
    7,102.71x = 10,654.05 × 2,720.16
  4. Step 4: Simplify right side
    7,102.71x = 28,980,720.65
  5. Step 5: Solve for x
    x = 28,980,720.65/7,102.71
  6. Step 6: Final answer
    x = 4,080.24

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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.