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Finding the Fourth Proportional to 15,701.72, 23,554.86 and 5,309.96

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Solution

The fourth proportional to 15,701.72, 23,554.86 and 5,309.96 is: 7,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.72 : 23,554.86 = 5,309.96 : x
  2. Step 2: Convert to fraction form
    15,701.72/23,554.86 = 5,309.96/x
  3. Step 3: Cross multiply
    15,701.72x = 23,554.86 × 5,309.96
  4. Step 4: Simplify right side
    15,701.72x = 125,075,364.41
  5. Step 5: Solve for x
    x = 125,075,364.41/15,701.72
  6. Step 6: Final answer
    x = 7,965.71

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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.