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Finding the Fourth Proportional to 6,865.26, 9,471.15 and 4,070.22

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Solution

The fourth proportional to 6,865.26, 9,471.15 and 4,070.22 is: 5,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.26 : 9,471.15 = 4,070.22 : x
  2. Step 2: Convert to fraction form
    6,865.26/9,471.15 = 4,070.22/x
  3. Step 3: Cross multiply
    6,865.26x = 9,471.15 × 4,070.22
  4. Step 4: Simplify right side
    6,865.26x = 38,549,664.15
  5. Step 5: Solve for x
    x = 38,549,664.15/6,865.26
  6. Step 6: Final answer
    x = 5,615.18

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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.