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Finding the Fourth Proportional to 5,676.52, 7,814.18 and 4,926.08

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Solution

The fourth proportional to 5,676.52, 7,814.18 and 4,926.08 is: 6,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.52 : 7,814.18 = 4,926.08 : x
  2. Step 2: Convert to fraction form
    5,676.52/7,814.18 = 4,926.08/x
  3. Step 3: Cross multiply
    5,676.52x = 7,814.18 × 4,926.08
  4. Step 4: Simplify right side
    5,676.52x = 38,493,275.81
  5. Step 5: Solve for x
    x = 38,493,275.81/5,676.52
  6. Step 6: Final answer
    x = 6,781.14

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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.