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Finding the Fourth Proportional to 9,649.16, 13,316.22 and 6,294.20

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Solution

The fourth proportional to 9,649.16, 13,316.22 and 6,294.20 is: 8,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.16 : 13,316.22 = 6,294.20 : x
  2. Step 2: Convert to fraction form
    9,649.16/13,316.22 = 6,294.20/x
  3. Step 3: Cross multiply
    9,649.16x = 13,316.22 × 6,294.20
  4. Step 4: Simplify right side
    9,649.16x = 83,814,951.92
  5. Step 5: Solve for x
    x = 83,814,951.92/9,649.16
  6. Step 6: Final answer
    x = 8,686.24

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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.