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Finding the Fourth Proportional to 9,478.22, 14,224.30 and 7,651.22

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Solution

The fourth proportional to 9,478.22, 14,224.30 and 7,651.22 is: 11,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.22 : 14,224.30 = 7,651.22 : x
  2. Step 2: Convert to fraction form
    9,478.22/14,224.30 = 7,651.22/x
  3. Step 3: Cross multiply
    9,478.22x = 14,224.30 × 7,651.22
  4. Step 4: Simplify right side
    9,478.22x = 108,833,248.65
  5. Step 5: Solve for x
    x = 108,833,248.65/9,478.22
  6. Step 6: Final answer
    x = 11,482.46

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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.