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Finding the Fourth Proportional to 25,570.41, 38,357.84 and 7,805.07

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Solution

The fourth proportional to 25,570.41, 38,357.84 and 7,805.07 is: 11,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.41 : 38,357.84 = 7,805.07 : x
  2. Step 2: Convert to fraction form
    25,570.41/38,357.84 = 7,805.07/x
  3. Step 3: Cross multiply
    25,570.41x = 38,357.84 × 7,805.07
  4. Step 4: Simplify right side
    25,570.41x = 299,385,626.25
  5. Step 5: Solve for x
    x = 299,385,626.25/25,570.41
  6. Step 6: Final answer
    x = 11,708.28

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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.