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Finding the Fourth Proportional to 5,902.04, 8,853.10 and 1,742.14

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Solution

The fourth proportional to 5,902.04, 8,853.10 and 1,742.14 is: 2,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.04 : 8,853.10 = 1,742.14 : x
  2. Step 2: Convert to fraction form
    5,902.04/8,853.10 = 1,742.14/x
  3. Step 3: Cross multiply
    5,902.04x = 8,853.10 × 1,742.14
  4. Step 4: Simplify right side
    5,902.04x = 15,423,339.63
  5. Step 5: Solve for x
    x = 15,423,339.63/5,902.04
  6. Step 6: Final answer
    x = 2,613.22

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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.