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Finding the Fourth Proportional to 25,228.38, 37,848.24 and 7,699.62

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Solution

The fourth proportional to 25,228.38, 37,848.24 and 7,699.62 is: 11,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,228.38 : 37,848.24 = 7,699.62 : x
  2. Step 2: Convert to fraction form
    25,228.38/37,848.24 = 7,699.62/x
  3. Step 3: Cross multiply
    25,228.38x = 37,848.24 × 7,699.62
  4. Step 4: Simplify right side
    25,228.38x = 291,417,065.67
  5. Step 5: Solve for x
    x = 291,417,065.67/25,228.38
  6. Step 6: Final answer
    x = 11,551.16

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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.