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Finding the Fourth Proportional to 15,696.40, 23,542.84 and 9,835.28

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Solution

The fourth proportional to 15,696.40, 23,542.84 and 9,835.28 is: 14,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.40 : 23,542.84 = 9,835.28 : x
  2. Step 2: Convert to fraction form
    15,696.40/23,542.84 = 9,835.28/x
  3. Step 3: Cross multiply
    15,696.40x = 23,542.84 × 9,835.28
  4. Step 4: Simplify right side
    15,696.40x = 231,550,423.40
  5. Step 5: Solve for x
    x = 231,550,423.40/15,696.40
  6. Step 6: Final answer
    x = 14,751.82

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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.