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Finding the Fourth Proportional to 15,758.34, 21,746.25 and 8,685.42

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Solution

The fourth proportional to 15,758.34, 21,746.25 and 8,685.42 is: 11,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.34 : 21,746.25 = 8,685.42 : x
  2. Step 2: Convert to fraction form
    15,758.34/21,746.25 = 8,685.42/x
  3. Step 3: Cross multiply
    15,758.34x = 21,746.25 × 8,685.42
  4. Step 4: Simplify right side
    15,758.34x = 188,875,314.68
  5. Step 5: Solve for x
    x = 188,875,314.68/15,758.34
  6. Step 6: Final answer
    x = 11,985.74

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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.