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Finding the Fourth Proportional to 9,594.72, 13,246.83 and 7,352.46

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Solution

The fourth proportional to 9,594.72, 13,246.83 and 7,352.46 is: 10,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.72 : 13,246.83 = 7,352.46 : x
  2. Step 2: Convert to fraction form
    9,594.72/13,246.83 = 7,352.46/x
  3. Step 3: Cross multiply
    9,594.72x = 13,246.83 × 7,352.46
  4. Step 4: Simplify right side
    9,594.72x = 97,396,787.70
  5. Step 5: Solve for x
    x = 97,396,787.70/9,594.72
  6. Step 6: Final answer
    x = 10,151.08

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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.