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Finding the Fourth Proportional to 11,270.42, 15,548 and 7,292.84

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Solution

The fourth proportional to 11,270.42, 15,548 and 7,292.84 is: 10,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.42 : 15,548 = 7,292.84 : x
  2. Step 2: Convert to fraction form
    11,270.42/15,548 = 7,292.84/x
  3. Step 3: Cross multiply
    11,270.42x = 15,548 × 7,292.84
  4. Step 4: Simplify right side
    11,270.42x = 113,389,076.32
  5. Step 5: Solve for x
    x = 113,389,076.32/11,270.42
  6. Step 6: Final answer
    x = 10,060.77

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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.