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Finding the Fourth Proportional to 25,298.82, 37,948.95 and 7,768.68

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Solution

The fourth proportional to 25,298.82, 37,948.95 and 7,768.68 is: 11,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,298.82 : 37,948.95 = 7,768.68 : x
  2. Step 2: Convert to fraction form
    25,298.82/37,948.95 = 7,768.68/x
  3. Step 3: Cross multiply
    25,298.82x = 37,948.95 × 7,768.68
  4. Step 4: Simplify right side
    25,298.82x = 294,813,248.89
  5. Step 5: Solve for x
    x = 294,813,248.89/25,298.82
  6. Step 6: Final answer
    x = 11,653.24

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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.