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Finding the Fourth Proportional to 9,957.92, 14,932 and 5,799.38

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Solution

The fourth proportional to 9,957.92, 14,932 and 5,799.38 is: 8,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.92 : 14,932 = 5,799.38 : x
  2. Step 2: Convert to fraction form
    9,957.92/14,932 = 5,799.38/x
  3. Step 3: Cross multiply
    9,957.92x = 14,932 × 5,799.38
  4. Step 4: Simplify right side
    9,957.92x = 86,596,342.16
  5. Step 5: Solve for x
    x = 86,596,342.16/9,957.92
  6. Step 6: Final answer
    x = 8,696.23

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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.