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Finding the Fourth Proportional to 9,034.56, 12,468 and 5,055.84

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Solution

The fourth proportional to 9,034.56, 12,468 and 5,055.84 is: 6,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.56 : 12,468 = 5,055.84 : x
  2. Step 2: Convert to fraction form
    9,034.56/12,468 = 5,055.84/x
  3. Step 3: Cross multiply
    9,034.56x = 12,468 × 5,055.84
  4. Step 4: Simplify right side
    9,034.56x = 63,036,213.12
  5. Step 5: Solve for x
    x = 63,036,213.12/9,034.56
  6. Step 6: Final answer
    x = 6,977.23

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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.