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Finding the Fourth Proportional to 9,412.76, 14,123.78 and 6,657.14

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Solution

The fourth proportional to 9,412.76, 14,123.78 and 6,657.14 is: 9,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.76 : 14,123.78 = 6,657.14 : x
  2. Step 2: Convert to fraction form
    9,412.76/14,123.78 = 6,657.14/x
  3. Step 3: Cross multiply
    9,412.76x = 14,123.78 × 6,657.14
  4. Step 4: Simplify right side
    9,412.76x = 94,023,980.79
  5. Step 5: Solve for x
    x = 94,023,980.79/9,412.76
  6. Step 6: Final answer
    x = 9,988.99

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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.