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Finding the Fourth Proportional to 15,733.56, 23,592.65 and 7,406.56

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Solution

The fourth proportional to 15,733.56, 23,592.65 and 7,406.56 is: 11,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.56 : 23,592.65 = 7,406.56 : x
  2. Step 2: Convert to fraction form
    15,733.56/23,592.65 = 7,406.56/x
  3. Step 3: Cross multiply
    15,733.56x = 23,592.65 × 7,406.56
  4. Step 4: Simplify right side
    15,733.56x = 174,740,377.78
  5. Step 5: Solve for x
    x = 174,740,377.78/15,733.56
  6. Step 6: Final answer
    x = 11,106.22

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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.