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Finding the Fourth Proportional to 9,681.54, 14,527.84 and 8,057.76

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Solution

The fourth proportional to 9,681.54, 14,527.84 and 8,057.76 is: 12,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.54 : 14,527.84 = 8,057.76 : x
  2. Step 2: Convert to fraction form
    9,681.54/14,527.84 = 8,057.76/x
  3. Step 3: Cross multiply
    9,681.54x = 14,527.84 × 8,057.76
  4. Step 4: Simplify right side
    9,681.54x = 117,061,848.04
  5. Step 5: Solve for x
    x = 117,061,848.04/9,681.54
  6. Step 6: Final answer
    x = 12,091.24

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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.