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Finding the Fourth Proportional to 6,546.86, 9,824.45 and 2,386.46

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Solution

The fourth proportional to 6,546.86, 9,824.45 and 2,386.46 is: 3,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.86 : 9,824.45 = 2,386.46 : x
  2. Step 2: Convert to fraction form
    6,546.86/9,824.45 = 2,386.46/x
  3. Step 3: Cross multiply
    6,546.86x = 9,824.45 × 2,386.46
  4. Step 4: Simplify right side
    6,546.86x = 23,445,656.95
  5. Step 5: Solve for x
    x = 23,445,656.95/6,546.86
  6. Step 6: Final answer
    x = 3,581.21

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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.