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Finding the Fourth Proportional to 7,013.16, 9,674.07 and 4,529.16

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Solution

The fourth proportional to 7,013.16, 9,674.07 and 4,529.16 is: 6,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.16 : 9,674.07 = 4,529.16 : x
  2. Step 2: Convert to fraction form
    7,013.16/9,674.07 = 4,529.16/x
  3. Step 3: Cross multiply
    7,013.16x = 9,674.07 × 4,529.16
  4. Step 4: Simplify right side
    7,013.16x = 43,815,410.88
  5. Step 5: Solve for x
    x = 43,815,410.88/7,013.16
  6. Step 6: Final answer
    x = 6,247.60

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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.