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Finding the Fourth Proportional to 11,403, 15,736.14 and 7,216.92

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Solution

The fourth proportional to 11,403, 15,736.14 and 7,216.92 is: 9,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403 : 15,736.14 = 7,216.92 : x
  2. Step 2: Convert to fraction form
    11,403/15,736.14 = 7,216.92/x
  3. Step 3: Cross multiply
    11,403x = 15,736.14 × 7,216.92
  4. Step 4: Simplify right side
    11,403x = 113,566,463.49
  5. Step 5: Solve for x
    x = 113,566,463.49/11,403
  6. Step 6: Final answer
    x = 9,959.35

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1.5x scale

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.