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Finding the Fourth Proportional to 15,758.16, 21,746.10 and 8,684.46

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Solution

The fourth proportional to 15,758.16, 21,746.10 and 8,684.46 is: 11,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.16 : 21,746.10 = 8,684.46 : x
  2. Step 2: Convert to fraction form
    15,758.16/21,746.10 = 8,684.46/x
  3. Step 3: Cross multiply
    15,758.16x = 21,746.10 × 8,684.46
  4. Step 4: Simplify right side
    15,758.16x = 188,853,135.61
  5. Step 5: Solve for x
    x = 188,853,135.61/15,758.16
  6. Step 6: Final answer
    x = 11,984.47

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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.