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Finding the Fourth Proportional to 10,957.64, 16,438.10 and 3,559.64

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Solution

The fourth proportional to 10,957.64, 16,438.10 and 3,559.64 is: 5,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.64 : 16,438.10 = 3,559.64 : x
  2. Step 2: Convert to fraction form
    10,957.64/16,438.10 = 3,559.64/x
  3. Step 3: Cross multiply
    10,957.64x = 16,438.10 × 3,559.64
  4. Step 4: Simplify right side
    10,957.64x = 58,513,718.28
  5. Step 5: Solve for x
    x = 58,513,718.28/10,957.64
  6. Step 6: Final answer
    x = 5,339.99

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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.