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Finding the Fourth Proportional to 9,614.40, 14,416.80 and 4,414.40

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Solution

The fourth proportional to 9,614.40, 14,416.80 and 4,414.40 is: 6,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.40 : 14,416.80 = 4,414.40 : x
  2. Step 2: Convert to fraction form
    9,614.40/14,416.80 = 4,414.40/x
  3. Step 3: Cross multiply
    9,614.40x = 14,416.80 × 4,414.40
  4. Step 4: Simplify right side
    9,614.40x = 63,641,521.92
  5. Step 5: Solve for x
    x = 63,641,521.92/9,614.40
  6. Step 6: Final answer
    x = 6,619.40

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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.