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Finding the Fourth Proportional to 6,337.84, 8,746.68 and 3,543.16

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Solution

The fourth proportional to 6,337.84, 8,746.68 and 3,543.16 is: 4,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.84 : 8,746.68 = 3,543.16 : x
  2. Step 2: Convert to fraction form
    6,337.84/8,746.68 = 3,543.16/x
  3. Step 3: Cross multiply
    6,337.84x = 8,746.68 × 3,543.16
  4. Step 4: Simplify right side
    6,337.84x = 30,990,886.71
  5. Step 5: Solve for x
    x = 30,990,886.71/6,337.84
  6. Step 6: Final answer
    x = 4,889.82

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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.