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Finding the Fourth Proportional to 10,873.14, 14,971.56 and 9,521.01

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Solution

The fourth proportional to 10,873.14, 14,971.56 and 9,521.01 is: 13,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.14 : 14,971.56 = 9,521.01 : x
  2. Step 2: Convert to fraction form
    10,873.14/14,971.56 = 9,521.01/x
  3. Step 3: Cross multiply
    10,873.14x = 14,971.56 × 9,521.01
  4. Step 4: Simplify right side
    10,873.14x = 142,544,372.48
  5. Step 5: Solve for x
    x = 142,544,372.48/10,873.14
  6. Step 6: Final answer
    x = 13,109.78

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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.