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Finding the Fourth Proportional to 7,011.14, 9,674.16 and 4,178.16

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Solution

The fourth proportional to 7,011.14, 9,674.16 and 4,178.16 is: 5,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.14 : 9,674.16 = 4,178.16 : x
  2. Step 2: Convert to fraction form
    7,011.14/9,674.16 = 4,178.16/x
  3. Step 3: Cross multiply
    7,011.14x = 9,674.16 × 4,178.16
  4. Step 4: Simplify right side
    7,011.14x = 40,420,188.35
  5. Step 5: Solve for x
    x = 40,420,188.35/7,011.14
  6. Step 6: Final answer
    x = 5,765.14

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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.