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Finding the Fourth Proportional to 8,422.80, 11,623.53 and 4,646.10

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Solution

The fourth proportional to 8,422.80, 11,623.53 and 4,646.10 is: 6,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.80 : 11,623.53 = 4,646.10 : x
  2. Step 2: Convert to fraction form
    8,422.80/11,623.53 = 4,646.10/x
  3. Step 3: Cross multiply
    8,422.80x = 11,623.53 × 4,646.10
  4. Step 4: Simplify right side
    8,422.80x = 54,004,082.73
  5. Step 5: Solve for x
    x = 54,004,082.73/8,422.80
  6. Step 6: Final answer
    x = 6,411.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.