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Finding the Fourth Proportional to 25,306.76, 37,954.07 and 7,776.74

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Solution

The fourth proportional to 25,306.76, 37,954.07 and 7,776.74 is: 11,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,306.76 : 37,954.07 = 7,776.74 : x
  2. Step 2: Convert to fraction form
    25,306.76/37,954.07 = 7,776.74/x
  3. Step 3: Cross multiply
    25,306.76x = 37,954.07 × 7,776.74
  4. Step 4: Simplify right side
    25,306.76x = 295,159,019.50
  5. Step 5: Solve for x
    x = 295,159,019.50/25,306.76
  6. Step 6: Final answer
    x = 11,663.25

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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.