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Finding the Fourth Proportional to 11,446.65, 15,794.71 and 6,411.08

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Solution

The fourth proportional to 11,446.65, 15,794.71 and 6,411.08 is: 8,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.65 : 15,794.71 = 6,411.08 : x
  2. Step 2: Convert to fraction form
    11,446.65/15,794.71 = 6,411.08/x
  3. Step 3: Cross multiply
    11,446.65x = 15,794.71 × 6,411.08
  4. Step 4: Simplify right side
    11,446.65x = 101,261,070.41
  5. Step 5: Solve for x
    x = 101,261,070.41/11,446.65
  6. Step 6: Final answer
    x = 8,846.35

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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.