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Finding the Fourth Proportional to 11,528.34, 15,893.07 and 9,743.22

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Solution

The fourth proportional to 11,528.34, 15,893.07 and 9,743.22 is: 13,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,528.34 : 15,893.07 = 9,743.22 : x
  2. Step 2: Convert to fraction form
    11,528.34/15,893.07 = 9,743.22/x
  3. Step 3: Cross multiply
    11,528.34x = 15,893.07 × 9,743.22
  4. Step 4: Simplify right side
    11,528.34x = 154,849,677.49
  5. Step 5: Solve for x
    x = 154,849,677.49/11,528.34
  6. Step 6: Final answer
    x = 13,432.09

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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.