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Finding the Fourth Proportional to 7,973.76, 11,949.12 and 5,232

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Solution

The fourth proportional to 7,973.76, 11,949.12 and 5,232 is: 7,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.76 : 11,949.12 = 5,232 : x
  2. Step 2: Convert to fraction form
    7,973.76/11,949.12 = 5,232/x
  3. Step 3: Cross multiply
    7,973.76x = 11,949.12 × 5,232
  4. Step 4: Simplify right side
    7,973.76x = 62,517,795.84
  5. Step 5: Solve for x
    x = 62,517,795.84/7,973.76
  6. Step 6: Final answer
    x = 7,840.44

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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.