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Finding the Fourth Proportional to 6,866.30, 9,482.21 and 5,865.74

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Solution

The fourth proportional to 6,866.30, 9,482.21 and 5,865.74 is: 8,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.30 : 9,482.21 = 5,865.74 : x
  2. Step 2: Convert to fraction form
    6,866.30/9,482.21 = 5,865.74/x
  3. Step 3: Cross multiply
    6,866.30x = 9,482.21 × 5,865.74
  4. Step 4: Simplify right side
    6,866.30x = 55,620,101.75
  5. Step 5: Solve for x
    x = 55,620,101.75/6,866.30
  6. Step 6: Final answer
    x = 8,100.45

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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.