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Finding the Fourth Proportional to 10,071, 15,095.70 and 4,865.40

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Solution

The fourth proportional to 10,071, 15,095.70 and 4,865.40 is: 7,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071 : 15,095.70 = 4,865.40 : x
  2. Step 2: Convert to fraction form
    10,071/15,095.70 = 4,865.40/x
  3. Step 3: Cross multiply
    10,071x = 15,095.70 × 4,865.40
  4. Step 4: Simplify right side
    10,071x = 73,446,618.78
  5. Step 5: Solve for x
    x = 73,446,618.78/10,071
  6. Step 6: Final answer
    x = 7,292.88

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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.