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Finding the Fourth Proportional to 5,973.68, 8,959.34 and 5,677.32

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Solution

The fourth proportional to 5,973.68, 8,959.34 and 5,677.32 is: 8,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.68 : 8,959.34 = 5,677.32 : x
  2. Step 2: Convert to fraction form
    5,973.68/8,959.34 = 5,677.32/x
  3. Step 3: Cross multiply
    5,973.68x = 8,959.34 × 5,677.32
  4. Step 4: Simplify right side
    5,973.68x = 50,865,011.78
  5. Step 5: Solve for x
    x = 50,865,011.78/5,973.68
  6. Step 6: Final answer
    x = 8,514.86

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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.