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Finding the Fourth Proportional to 9,254.85, 12,769.02 and 5,476.20

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Solution

The fourth proportional to 9,254.85, 12,769.02 and 5,476.20 is: 7,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.85 : 12,769.02 = 5,476.20 : x
  2. Step 2: Convert to fraction form
    9,254.85/12,769.02 = 5,476.20/x
  3. Step 3: Cross multiply
    9,254.85x = 12,769.02 × 5,476.20
  4. Step 4: Simplify right side
    9,254.85x = 69,925,707.32
  5. Step 5: Solve for x
    x = 69,925,707.32/9,254.85
  6. Step 6: Final answer
    x = 7,555.57

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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.