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Finding the Fourth Proportional to 5,648.63, 8,478.18 and 4,068.98

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Solution

The fourth proportional to 5,648.63, 8,478.18 and 4,068.98 is: 6,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.63 : 8,478.18 = 4,068.98 : x
  2. Step 2: Convert to fraction form
    5,648.63/8,478.18 = 4,068.98/x
  3. Step 3: Cross multiply
    5,648.63x = 8,478.18 × 4,068.98
  4. Step 4: Simplify right side
    5,648.63x = 34,497,502.47
  5. Step 5: Solve for x
    x = 34,497,502.47/5,648.63
  6. Step 6: Final answer
    x = 6,107.24

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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.