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Finding the Fourth Proportional to 10,340.57, 15,504.98 and 7,057.64

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Solution

The fourth proportional to 10,340.57, 15,504.98 and 7,057.64 is: 10,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.57 : 15,504.98 = 7,057.64 : x
  2. Step 2: Convert to fraction form
    10,340.57/15,504.98 = 7,057.64/x
  3. Step 3: Cross multiply
    10,340.57x = 15,504.98 × 7,057.64
  4. Step 4: Simplify right side
    10,340.57x = 109,428,454.23
  5. Step 5: Solve for x
    x = 109,428,454.23/10,340.57
  6. Step 6: Final answer
    x = 10,582.44

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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.