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Finding the Fourth Proportional to 7,019, 10,527.08 and 2,575.15

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Solution

The fourth proportional to 7,019, 10,527.08 and 2,575.15 is: 3,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019 : 10,527.08 = 2,575.15 : x
  2. Step 2: Convert to fraction form
    7,019/10,527.08 = 2,575.15/x
  3. Step 3: Cross multiply
    7,019x = 10,527.08 × 2,575.15
  4. Step 4: Simplify right side
    7,019x = 27,108,810.06
  5. Step 5: Solve for x
    x = 27,108,810.06/7,019
  6. Step 6: Final answer
    x = 3,862.20

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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.