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Finding the Fourth Proportional to 6,543.84, 9,818.96 and 4,078.08

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Solution

The fourth proportional to 6,543.84, 9,818.96 and 4,078.08 is: 6,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.84 : 9,818.96 = 4,078.08 : x
  2. Step 2: Convert to fraction form
    6,543.84/9,818.96 = 4,078.08/x
  3. Step 3: Cross multiply
    6,543.84x = 9,818.96 × 4,078.08
  4. Step 4: Simplify right side
    6,543.84x = 40,042,504.40
  5. Step 5: Solve for x
    x = 40,042,504.40/6,543.84
  6. Step 6: Final answer
    x = 6,119.11

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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.