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Finding the Fourth Proportional to 7,924.16, 10,936.10 and 4,737.47

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Solution

The fourth proportional to 7,924.16, 10,936.10 and 4,737.47 is: 6,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.16 : 10,936.10 = 4,737.47 : x
  2. Step 2: Convert to fraction form
    7,924.16/10,936.10 = 4,737.47/x
  3. Step 3: Cross multiply
    7,924.16x = 10,936.10 × 4,737.47
  4. Step 4: Simplify right side
    7,924.16x = 51,809,449.32
  5. Step 5: Solve for x
    x = 51,809,449.32/7,924.16
  6. Step 6: Final answer
    x = 6,538.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.