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Finding the Fourth Proportional to 11,182.88, 15,421.77 and 7,347.77

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Solution

The fourth proportional to 11,182.88, 15,421.77 and 7,347.77 is: 10,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.88 : 15,421.77 = 7,347.77 : x
  2. Step 2: Convert to fraction form
    11,182.88/15,421.77 = 7,347.77/x
  3. Step 3: Cross multiply
    11,182.88x = 15,421.77 × 7,347.77
  4. Step 4: Simplify right side
    11,182.88x = 113,315,618.95
  5. Step 5: Solve for x
    x = 113,315,618.95/11,182.88
  6. Step 6: Final answer
    x = 10,132.95

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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.