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Finding the Fourth Proportional to 10,014, 15,026.36 and 6,503.18

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Solution

The fourth proportional to 10,014, 15,026.36 and 6,503.18 is: 9,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014 : 15,026.36 = 6,503.18 : x
  2. Step 2: Convert to fraction form
    10,014/15,026.36 = 6,503.18/x
  3. Step 3: Cross multiply
    10,014x = 15,026.36 × 6,503.18
  4. Step 4: Simplify right side
    10,014x = 97,719,123.82
  5. Step 5: Solve for x
    x = 97,719,123.82/10,014
  6. Step 6: Final answer
    x = 9,758.25

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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.