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Finding the Fourth Proportional to 8,574.12, 11,828.04 and 6,682.32

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Solution

The fourth proportional to 8,574.12, 11,828.04 and 6,682.32 is: 9,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.12 : 11,828.04 = 6,682.32 : x
  2. Step 2: Convert to fraction form
    8,574.12/11,828.04 = 6,682.32/x
  3. Step 3: Cross multiply
    8,574.12x = 11,828.04 × 6,682.32
  4. Step 4: Simplify right side
    8,574.12x = 79,038,748.25
  5. Step 5: Solve for x
    x = 79,038,748.25/8,574.12
  6. Step 6: Final answer
    x = 9,218.29

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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.