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Finding the Fourth Proportional to 6,543.61, 9,030.13 and 3,559.44

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Solution

The fourth proportional to 6,543.61, 9,030.13 and 3,559.44 is: 4,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.61 : 9,030.13 = 3,559.44 : x
  2. Step 2: Convert to fraction form
    6,543.61/9,030.13 = 3,559.44/x
  3. Step 3: Cross multiply
    6,543.61x = 9,030.13 × 3,559.44
  4. Step 4: Simplify right side
    6,543.61x = 32,142,205.93
  5. Step 5: Solve for x
    x = 32,142,205.93/6,543.61
  6. Step 6: Final answer
    x = 4,912.00

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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.