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Finding the Fourth Proportional to 7,390.44, 10,184.13 and 7,298.46

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Solution

The fourth proportional to 7,390.44, 10,184.13 and 7,298.46 is: 10,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.44 : 10,184.13 = 7,298.46 : x
  2. Step 2: Convert to fraction form
    7,390.44/10,184.13 = 7,298.46/x
  3. Step 3: Cross multiply
    7,390.44x = 10,184.13 × 7,298.46
  4. Step 4: Simplify right side
    7,390.44x = 74,328,465.44
  5. Step 5: Solve for x
    x = 74,328,465.44/7,390.44
  6. Step 6: Final answer
    x = 10,057.38

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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.