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Finding the Fourth Proportional to 11,496.54, 15,870.97 and 7,523.72

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Solution

The fourth proportional to 11,496.54, 15,870.97 and 7,523.72 is: 10,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.54 : 15,870.97 = 7,523.72 : x
  2. Step 2: Convert to fraction form
    11,496.54/15,870.97 = 7,523.72/x
  3. Step 3: Cross multiply
    11,496.54x = 15,870.97 × 7,523.72
  4. Step 4: Simplify right side
    11,496.54x = 119,408,813.25
  5. Step 5: Solve for x
    x = 119,408,813.25/11,496.54
  6. Step 6: Final answer
    x = 10,386.50

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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.