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Finding the Fourth Proportional to 8,782.90, 13,173.90 and 6,322.12

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Solution

The fourth proportional to 8,782.90, 13,173.90 and 6,322.12 is: 9,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.90 : 13,173.90 = 6,322.12 : x
  2. Step 2: Convert to fraction form
    8,782.90/13,173.90 = 6,322.12/x
  3. Step 3: Cross multiply
    8,782.90x = 13,173.90 × 6,322.12
  4. Step 4: Simplify right side
    8,782.90x = 83,286,976.67
  5. Step 5: Solve for x
    x = 83,286,976.67/8,782.90
  6. Step 6: Final answer
    x = 9,482.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.