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Finding the Fourth Proportional to 8,095.80, 12,143.82 and 7,698.06

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Solution

The fourth proportional to 8,095.80, 12,143.82 and 7,698.06 is: 11,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.80 : 12,143.82 = 7,698.06 : x
  2. Step 2: Convert to fraction form
    8,095.80/12,143.82 = 7,698.06/x
  3. Step 3: Cross multiply
    8,095.80x = 12,143.82 × 7,698.06
  4. Step 4: Simplify right side
    8,095.80x = 93,483,854.99
  5. Step 5: Solve for x
    x = 93,483,854.99/8,095.80
  6. Step 6: Final answer
    x = 11,547.20

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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.