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Finding the Fourth Proportional to 7,054.32, 9,712.79 and 5,989.85

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Solution

The fourth proportional to 7,054.32, 9,712.79 and 5,989.85 is: 8,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.32 : 9,712.79 = 5,989.85 : x
  2. Step 2: Convert to fraction form
    7,054.32/9,712.79 = 5,989.85/x
  3. Step 3: Cross multiply
    7,054.32x = 9,712.79 × 5,989.85
  4. Step 4: Simplify right side
    7,054.32x = 58,178,106.62
  5. Step 5: Solve for x
    x = 58,178,106.62/7,054.32
  6. Step 6: Final answer
    x = 8,247.16

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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.