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Finding the Fourth Proportional to 10,477.92, 15,716.88 and 5,864.16

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Solution

The fourth proportional to 10,477.92, 15,716.88 and 5,864.16 is: 8,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.92 : 15,716.88 = 5,864.16 : x
  2. Step 2: Convert to fraction form
    10,477.92/15,716.88 = 5,864.16/x
  3. Step 3: Cross multiply
    10,477.92x = 15,716.88 × 5,864.16
  4. Step 4: Simplify right side
    10,477.92x = 92,166,299.02
  5. Step 5: Solve for x
    x = 92,166,299.02/10,477.92
  6. Step 6: Final answer
    x = 8,796.24

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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.