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Finding the Fourth Proportional to 15,703.48, 23,546.94 and 6,934.24

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Solution

The fourth proportional to 15,703.48, 23,546.94 and 6,934.24 is: 10,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.48 : 23,546.94 = 6,934.24 : x
  2. Step 2: Convert to fraction form
    15,703.48/23,546.94 = 6,934.24/x
  3. Step 3: Cross multiply
    15,703.48x = 23,546.94 × 6,934.24
  4. Step 4: Simplify right side
    15,703.48x = 163,280,133.23
  5. Step 5: Solve for x
    x = 163,280,133.23/15,703.48
  6. Step 6: Final answer
    x = 10,397.70

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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.