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Finding the Fourth Proportional to 6,543.68, 9,823.20 and 4,084.16

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Solution

The fourth proportional to 6,543.68, 9,823.20 and 4,084.16 is: 6,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.68 : 9,823.20 = 4,084.16 : x
  2. Step 2: Convert to fraction form
    6,543.68/9,823.20 = 4,084.16/x
  3. Step 3: Cross multiply
    6,543.68x = 9,823.20 × 4,084.16
  4. Step 4: Simplify right side
    6,543.68x = 40,119,520.51
  5. Step 5: Solve for x
    x = 40,119,520.51/6,543.68
  6. Step 6: Final answer
    x = 6,131.03

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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.