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Finding the Fourth Proportional to 9,897.88, 14,854.32 and 3,663.76

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Solution

The fourth proportional to 9,897.88, 14,854.32 and 3,663.76 is: 5,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.88 : 14,854.32 = 3,663.76 : x
  2. Step 2: Convert to fraction form
    9,897.88/14,854.32 = 3,663.76/x
  3. Step 3: Cross multiply
    9,897.88x = 14,854.32 × 3,663.76
  4. Step 4: Simplify right side
    9,897.88x = 54,422,663.44
  5. Step 5: Solve for x
    x = 54,422,663.44/9,897.88
  6. Step 6: Final answer
    x = 5,498.42

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1.5x scale

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.