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Finding the Fourth Proportional to 15,407.76, 23,093.88 and 6,965.16

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Solution

The fourth proportional to 15,407.76, 23,093.88 and 6,965.16 is: 10,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.76 : 23,093.88 = 6,965.16 : x
  2. Step 2: Convert to fraction form
    15,407.76/23,093.88 = 6,965.16/x
  3. Step 3: Cross multiply
    15,407.76x = 23,093.88 × 6,965.16
  4. Step 4: Simplify right side
    15,407.76x = 160,852,569.22
  5. Step 5: Solve for x
    x = 160,852,569.22/15,407.76
  6. Step 6: Final answer
    x = 10,439.71

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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.