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Finding the Fourth Proportional to 9,799.76, 14,674.96 and 6,502.88

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Solution

The fourth proportional to 9,799.76, 14,674.96 and 6,502.88 is: 9,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.76 : 14,674.96 = 6,502.88 : x
  2. Step 2: Convert to fraction form
    9,799.76/14,674.96 = 6,502.88/x
  3. Step 3: Cross multiply
    9,799.76x = 14,674.96 × 6,502.88
  4. Step 4: Simplify right side
    9,799.76x = 95,429,503.88
  5. Step 5: Solve for x
    x = 95,429,503.88/9,799.76
  6. Step 6: Final answer
    x = 9,737.94

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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.