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Finding the Fourth Proportional to 16,294.40, 24,436.80 and 6,430.40

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Solution

The fourth proportional to 16,294.40, 24,436.80 and 6,430.40 is: 9,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.40 : 24,436.80 = 6,430.40 : x
  2. Step 2: Convert to fraction form
    16,294.40/24,436.80 = 6,430.40/x
  3. Step 3: Cross multiply
    16,294.40x = 24,436.80 × 6,430.40
  4. Step 4: Simplify right side
    16,294.40x = 157,138,398.72
  5. Step 5: Solve for x
    x = 157,138,398.72/16,294.40
  6. Step 6: Final answer
    x = 9,643.71

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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.