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Finding the Fourth Proportional to 9,754.38, 13,461.14 and 5,278.22

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Solution

The fourth proportional to 9,754.38, 13,461.14 and 5,278.22 is: 7,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.38 : 13,461.14 = 5,278.22 : x
  2. Step 2: Convert to fraction form
    9,754.38/13,461.14 = 5,278.22/x
  3. Step 3: Cross multiply
    9,754.38x = 13,461.14 × 5,278.22
  4. Step 4: Simplify right side
    9,754.38x = 71,050,858.37
  5. Step 5: Solve for x
    x = 71,050,858.37/9,754.38
  6. Step 6: Final answer
    x = 7,284.00

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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.