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Finding the Fourth Proportional to 6,547.34, 9,823.08 and 2,167.86

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Solution

The fourth proportional to 6,547.34, 9,823.08 and 2,167.86 is: 3,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.34 : 9,823.08 = 2,167.86 : x
  2. Step 2: Convert to fraction form
    6,547.34/9,823.08 = 2,167.86/x
  3. Step 3: Cross multiply
    6,547.34x = 9,823.08 × 2,167.86
  4. Step 4: Simplify right side
    6,547.34x = 21,295,062.21
  5. Step 5: Solve for x
    x = 21,295,062.21/6,547.34
  6. Step 6: Final answer
    x = 3,252.48

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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.