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Finding the Fourth Proportional to 25,294.40, 37,943.36 and 7,776.48

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Solution

The fourth proportional to 25,294.40, 37,943.36 and 7,776.48 is: 11,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.40 : 37,943.36 = 7,776.48 : x
  2. Step 2: Convert to fraction form
    25,294.40/37,943.36 = 7,776.48/x
  3. Step 3: Cross multiply
    25,294.40x = 37,943.36 × 7,776.48
  4. Step 4: Simplify right side
    25,294.40x = 295,065,780.17
  5. Step 5: Solve for x
    x = 295,065,780.17/25,294.40
  6. Step 6: Final answer
    x = 11,665.26

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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.