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Finding the Fourth Proportional to 6,363.50, 8,784.18 and 4,127.22

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Solution

The fourth proportional to 6,363.50, 8,784.18 and 4,127.22 is: 5,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.50 : 8,784.18 = 4,127.22 : x
  2. Step 2: Convert to fraction form
    6,363.50/8,784.18 = 4,127.22/x
  3. Step 3: Cross multiply
    6,363.50x = 8,784.18 × 4,127.22
  4. Step 4: Simplify right side
    6,363.50x = 36,254,243.38
  5. Step 5: Solve for x
    x = 36,254,243.38/6,363.50
  6. Step 6: Final answer
    x = 5,697.22

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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.