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Finding the Fourth Proportional to 14,964.40, 22,463.88 and 9,780.40

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Solution

The fourth proportional to 14,964.40, 22,463.88 and 9,780.40 is: 14,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.40 : 22,463.88 = 9,780.40 : x
  2. Step 2: Convert to fraction form
    14,964.40/22,463.88 = 9,780.40/x
  3. Step 3: Cross multiply
    14,964.40x = 22,463.88 × 9,780.40
  4. Step 4: Simplify right side
    14,964.40x = 219,705,731.95
  5. Step 5: Solve for x
    x = 219,705,731.95/14,964.40
  6. Step 6: Final answer
    x = 14,681.89

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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.