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Finding the Fourth Proportional to 8,547.70, 12,821.55 and 7,834.90

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Solution

The fourth proportional to 8,547.70, 12,821.55 and 7,834.90 is: 11,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.70 : 12,821.55 = 7,834.90 : x
  2. Step 2: Convert to fraction form
    8,547.70/12,821.55 = 7,834.90/x
  3. Step 3: Cross multiply
    8,547.70x = 12,821.55 × 7,834.90
  4. Step 4: Simplify right side
    8,547.70x = 100,455,562.10
  5. Step 5: Solve for x
    x = 100,455,562.10/8,547.70
  6. Step 6: Final answer
    x = 11,752.35

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Similar ratio
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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.