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Finding the Fourth Proportional to 6,547.07, 9,822.23 and 2,164.57

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Solution

The fourth proportional to 6,547.07, 9,822.23 and 2,164.57 is: 3,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.07 : 9,822.23 = 2,164.57 : x
  2. Step 2: Convert to fraction form
    6,547.07/9,822.23 = 2,164.57/x
  3. Step 3: Cross multiply
    6,547.07x = 9,822.23 × 2,164.57
  4. Step 4: Simplify right side
    6,547.07x = 21,260,904.39
  5. Step 5: Solve for x
    x = 21,260,904.39/6,547.07
  6. Step 6: Final answer
    x = 3,247.39

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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.