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Finding the Fourth Proportional to 10,644.88, 15,981.44 and 9,094.84

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Solution

The fourth proportional to 10,644.88, 15,981.44 and 9,094.84 is: 13,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.88 : 15,981.44 = 9,094.84 : x
  2. Step 2: Convert to fraction form
    10,644.88/15,981.44 = 9,094.84/x
  3. Step 3: Cross multiply
    10,644.88x = 15,981.44 × 9,094.84
  4. Step 4: Simplify right side
    10,644.88x = 145,348,639.77
  5. Step 5: Solve for x
    x = 145,348,639.77/10,644.88
  6. Step 6: Final answer
    x = 13,654.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.