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Finding the Fourth Proportional to 9,153.63, 12,633.12 and 5,378.22

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Solution

The fourth proportional to 9,153.63, 12,633.12 and 5,378.22 is: 7,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.63 : 12,633.12 = 5,378.22 : x
  2. Step 2: Convert to fraction form
    9,153.63/12,633.12 = 5,378.22/x
  3. Step 3: Cross multiply
    9,153.63x = 12,633.12 × 5,378.22
  4. Step 4: Simplify right side
    9,153.63x = 67,943,698.65
  5. Step 5: Solve for x
    x = 67,943,698.65/9,153.63
  6. Step 6: Final answer
    x = 7,422.60

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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.