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Finding the Fourth Proportional to 11,178, 15,432.12 and 7,458.48

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Solution

The fourth proportional to 11,178, 15,432.12 and 7,458.48 is: 10,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 15,432.12 = 7,458.48 : x
  2. Step 2: Convert to fraction form
    11,178/15,432.12 = 7,458.48/x
  3. Step 3: Cross multiply
    11,178x = 15,432.12 × 7,458.48
  4. Step 4: Simplify right side
    11,178x = 115,100,158.38
  5. Step 5: Solve for x
    x = 115,100,158.38/11,178
  6. Step 6: Final answer
    x = 10,297.03

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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.