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Finding the Fourth Proportional to 9,737.40, 14,613.30 and 6,449.40

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Solution

The fourth proportional to 9,737.40, 14,613.30 and 6,449.40 is: 9,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.40 : 14,613.30 = 6,449.40 : x
  2. Step 2: Convert to fraction form
    9,737.40/14,613.30 = 6,449.40/x
  3. Step 3: Cross multiply
    9,737.40x = 14,613.30 × 6,449.40
  4. Step 4: Simplify right side
    9,737.40x = 94,247,017.02
  5. Step 5: Solve for x
    x = 94,247,017.02/9,737.40
  6. Step 6: Final answer
    x = 9,678.87

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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.