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Finding the Fourth Proportional to 9,897.80, 14,849.43 and 8,809.76

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Solution

The fourth proportional to 9,897.80, 14,849.43 and 8,809.76 is: 13,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.80 : 14,849.43 = 8,809.76 : x
  2. Step 2: Convert to fraction form
    9,897.80/14,849.43 = 8,809.76/x
  3. Step 3: Cross multiply
    9,897.80x = 14,849.43 × 8,809.76
  4. Step 4: Simplify right side
    9,897.80x = 130,819,918.52
  5. Step 5: Solve for x
    x = 130,819,918.52/9,897.80
  6. Step 6: Final answer
    x = 13,217.08

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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.