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Finding the Fourth Proportional to 9,678.40, 14,474.40 and 8,123.20

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Solution

The fourth proportional to 9,678.40, 14,474.40 and 8,123.20 is: 12,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.40 : 14,474.40 = 8,123.20 : x
  2. Step 2: Convert to fraction form
    9,678.40/14,474.40 = 8,123.20/x
  3. Step 3: Cross multiply
    9,678.40x = 14,474.40 × 8,123.20
  4. Step 4: Simplify right side
    9,678.40x = 117,578,446.08
  5. Step 5: Solve for x
    x = 117,578,446.08/9,678.40
  6. Step 6: Final answer
    x = 12,148.54

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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.