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Finding the Fourth Proportional to 8,357.92, 11,533.84 and 4,631.92

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Solution

The fourth proportional to 8,357.92, 11,533.84 and 4,631.92 is: 6,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.92 : 11,533.84 = 4,631.92 : x
  2. Step 2: Convert to fraction form
    8,357.92/11,533.84 = 4,631.92/x
  3. Step 3: Cross multiply
    8,357.92x = 11,533.84 × 4,631.92
  4. Step 4: Simplify right side
    8,357.92x = 53,423,824.17
  5. Step 5: Solve for x
    x = 53,423,824.17/8,357.92
  6. Step 6: Final answer
    x = 6,392.00

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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.