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Finding the Fourth Proportional to 8,547, 12,820.98 and 2,391.48

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Solution

The fourth proportional to 8,547, 12,820.98 and 2,391.48 is: 3,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547 : 12,820.98 = 2,391.48 : x
  2. Step 2: Convert to fraction form
    8,547/12,820.98 = 2,391.48/x
  3. Step 3: Cross multiply
    8,547x = 12,820.98 × 2,391.48
  4. Step 4: Simplify right side
    8,547x = 30,661,117.25
  5. Step 5: Solve for x
    x = 30,661,117.25/8,547
  6. Step 6: Final answer
    x = 3,587.35

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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.