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Finding the Fourth Proportional to 9,842.84, 14,780.98 and 6,576.92

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Solution

The fourth proportional to 9,842.84, 14,780.98 and 6,576.92 is: 9,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.84 : 14,780.98 = 6,576.92 : x
  2. Step 2: Convert to fraction form
    9,842.84/14,780.98 = 6,576.92/x
  3. Step 3: Cross multiply
    9,842.84x = 14,780.98 × 6,576.92
  4. Step 4: Simplify right side
    9,842.84x = 97,213,322.98
  5. Step 5: Solve for x
    x = 97,213,322.98/9,842.84
  6. Step 6: Final answer
    x = 9,876.55

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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.