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Finding the Fourth Proportional to 5,642.04, 8,463.88 and 1,746.76

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Solution

The fourth proportional to 5,642.04, 8,463.88 and 1,746.76 is: 2,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.04 : 8,463.88 = 1,746.76 : x
  2. Step 2: Convert to fraction form
    5,642.04/8,463.88 = 1,746.76/x
  3. Step 3: Cross multiply
    5,642.04x = 8,463.88 × 1,746.76
  4. Step 4: Simplify right side
    5,642.04x = 14,784,367.03
  5. Step 5: Solve for x
    x = 14,784,367.03/5,642.04
  6. Step 6: Final answer
    x = 2,620.39

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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.