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Finding the Fourth Proportional to 7,117.82, 10,675.10 and 1,924.10

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Solution

The fourth proportional to 7,117.82, 10,675.10 and 1,924.10 is: 2,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.82 : 10,675.10 = 1,924.10 : x
  2. Step 2: Convert to fraction form
    7,117.82/10,675.10 = 1,924.10/x
  3. Step 3: Cross multiply
    7,117.82x = 10,675.10 × 1,924.10
  4. Step 4: Simplify right side
    7,117.82x = 20,539,959.91
  5. Step 5: Solve for x
    x = 20,539,959.91/7,117.82
  6. Step 6: Final answer
    x = 2,885.71

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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.