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Finding the Fourth Proportional to 10,174.41, 15,264.05 and 4,248

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Solution

The fourth proportional to 10,174.41, 15,264.05 and 4,248 is: 6,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.41 : 15,264.05 = 4,248 : x
  2. Step 2: Convert to fraction form
    10,174.41/15,264.05 = 4,248/x
  3. Step 3: Cross multiply
    10,174.41x = 15,264.05 × 4,248
  4. Step 4: Simplify right side
    10,174.41x = 64,841,663.16
  5. Step 5: Solve for x
    x = 64,841,663.16/10,174.41
  6. Step 6: Final answer
    x = 6,373.01

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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.