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Finding the Fourth Proportional to 6,547.97, 9,820.14 and 2,164.86

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Solution

The fourth proportional to 6,547.97, 9,820.14 and 2,164.86 is: 3,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.97 : 9,820.14 = 2,164.86 : x
  2. Step 2: Convert to fraction form
    6,547.97/9,820.14 = 2,164.86/x
  3. Step 3: Cross multiply
    6,547.97x = 9,820.14 × 2,164.86
  4. Step 4: Simplify right side
    6,547.97x = 21,259,220.16
  5. Step 5: Solve for x
    x = 21,259,220.16/6,547.97
  6. Step 6: Final answer
    x = 3,246.69

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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.