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Finding the Fourth Proportional to 9,897.16, 14,822.32 and 8,591.56

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Solution

The fourth proportional to 9,897.16, 14,822.32 and 8,591.56 is: 12,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.16 : 14,822.32 = 8,591.56 : x
  2. Step 2: Convert to fraction form
    9,897.16/14,822.32 = 8,591.56/x
  3. Step 3: Cross multiply
    9,897.16x = 14,822.32 × 8,591.56
  4. Step 4: Simplify right side
    9,897.16x = 127,346,851.62
  5. Step 5: Solve for x
    x = 127,346,851.62/9,897.16
  6. Step 6: Final answer
    x = 12,867.01

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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.