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Finding the Fourth Proportional to 6,337.72, 8,746.62 and 4,209.49

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Solution

The fourth proportional to 6,337.72, 8,746.62 and 4,209.49 is: 5,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.72 : 8,746.62 = 4,209.49 : x
  2. Step 2: Convert to fraction form
    6,337.72/8,746.62 = 4,209.49/x
  3. Step 3: Cross multiply
    6,337.72x = 8,746.62 × 4,209.49
  4. Step 4: Simplify right side
    6,337.72x = 36,818,809.42
  5. Step 5: Solve for x
    x = 36,818,809.42/6,337.72
  6. Step 6: Final answer
    x = 5,809.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.