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Finding the Fourth Proportional to 10,781.58, 14,882.74 and 7,254.84

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Solution

The fourth proportional to 10,781.58, 14,882.74 and 7,254.84 is: 10,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.58 : 14,882.74 = 7,254.84 : x
  2. Step 2: Convert to fraction form
    10,781.58/14,882.74 = 7,254.84/x
  3. Step 3: Cross multiply
    10,781.58x = 14,882.74 × 7,254.84
  4. Step 4: Simplify right side
    10,781.58x = 107,971,897.46
  5. Step 5: Solve for x
    x = 107,971,897.46/10,781.58
  6. Step 6: Final answer
    x = 10,014.48

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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.