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Finding the Fourth Proportional to 24,603.84, 36,907.92 and 7,964.28

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Solution

The fourth proportional to 24,603.84, 36,907.92 and 7,964.28 is: 11,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.84 : 36,907.92 = 7,964.28 : x
  2. Step 2: Convert to fraction form
    24,603.84/36,907.92 = 7,964.28/x
  3. Step 3: Cross multiply
    24,603.84x = 36,907.92 × 7,964.28
  4. Step 4: Simplify right side
    24,603.84x = 293,945,009.10
  5. Step 5: Solve for x
    x = 293,945,009.10/24,603.84
  6. Step 6: Final answer
    x = 11,947.12

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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.