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Finding the Fourth Proportional to 6,543.34, 9,851.99 and 5,768.30

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Solution

The fourth proportional to 6,543.34, 9,851.99 and 5,768.30 is: 8,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.34 : 9,851.99 = 5,768.30 : x
  2. Step 2: Convert to fraction form
    6,543.34/9,851.99 = 5,768.30/x
  3. Step 3: Cross multiply
    6,543.34x = 9,851.99 × 5,768.30
  4. Step 4: Simplify right side
    6,543.34x = 56,829,229.71
  5. Step 5: Solve for x
    x = 56,829,229.71/6,543.34
  6. Step 6: Final answer
    x = 8,685.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.