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Finding the Fourth Proportional to 10,971, 15,140.36 and 6,003

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Solution

The fourth proportional to 10,971, 15,140.36 and 6,003 is: 8,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971 : 15,140.36 = 6,003 : x
  2. Step 2: Convert to fraction form
    10,971/15,140.36 = 6,003/x
  3. Step 3: Cross multiply
    10,971x = 15,140.36 × 6,003
  4. Step 4: Simplify right side
    10,971x = 90,887,581.08
  5. Step 5: Solve for x
    x = 90,887,581.08/10,971
  6. Step 6: Final answer
    x = 8,284.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.