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Finding the Fourth Proportional to 25,715.80, 38,573.70 and 9,075.70

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Solution

The fourth proportional to 25,715.80, 38,573.70 and 9,075.70 is: 13,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,715.80 : 38,573.70 = 9,075.70 : x
  2. Step 2: Convert to fraction form
    25,715.80/38,573.70 = 9,075.70/x
  3. Step 3: Cross multiply
    25,715.80x = 38,573.70 × 9,075.70
  4. Step 4: Simplify right side
    25,715.80x = 350,083,329.09
  5. Step 5: Solve for x
    x = 350,083,329.09/25,715.80
  6. Step 6: Final answer
    x = 13,613.55

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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.