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Finding the Fourth Proportional to 9,474.06, 13,074 and 5,495.52

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Solution

The fourth proportional to 9,474.06, 13,074 and 5,495.52 is: 7,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.06 : 13,074 = 5,495.52 : x
  2. Step 2: Convert to fraction form
    9,474.06/13,074 = 5,495.52/x
  3. Step 3: Cross multiply
    9,474.06x = 13,074 × 5,495.52
  4. Step 4: Simplify right side
    9,474.06x = 71,848,428.48
  5. Step 5: Solve for x
    x = 71,848,428.48/9,474.06
  6. Step 6: Final answer
    x = 7,583.70

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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.