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Finding the Fourth Proportional to 10,817.01, 14,924.07 and 8,541.18

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Solution

The fourth proportional to 10,817.01, 14,924.07 and 8,541.18 is: 11,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.01 : 14,924.07 = 8,541.18 : x
  2. Step 2: Convert to fraction form
    10,817.01/14,924.07 = 8,541.18/x
  3. Step 3: Cross multiply
    10,817.01x = 14,924.07 × 8,541.18
  4. Step 4: Simplify right side
    10,817.01x = 127,469,168.20
  5. Step 5: Solve for x
    x = 127,469,168.20/10,817.01
  6. Step 6: Final answer
    x = 11,784.14

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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.