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Finding the Fourth Proportional to 8,362.78, 12,527.97 and 4,461.82

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Solution

The fourth proportional to 8,362.78, 12,527.97 and 4,461.82 is: 6,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.78 : 12,527.97 = 4,461.82 : x
  2. Step 2: Convert to fraction form
    8,362.78/12,527.97 = 4,461.82/x
  3. Step 3: Cross multiply
    8,362.78x = 12,527.97 × 4,461.82
  4. Step 4: Simplify right side
    8,362.78x = 55,897,547.11
  5. Step 5: Solve for x
    x = 55,897,547.11/8,362.78
  6. Step 6: Final answer
    x = 6,684.09

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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.