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Finding the Fourth Proportional to 10,184.48, 14,021 and 8,857.48

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Solution

The fourth proportional to 10,184.48, 14,021 and 8,857.48 is: 12,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.48 : 14,021 = 8,857.48 : x
  2. Step 2: Convert to fraction form
    10,184.48/14,021 = 8,857.48/x
  3. Step 3: Cross multiply
    10,184.48x = 14,021 × 8,857.48
  4. Step 4: Simplify right side
    10,184.48x = 124,190,727.08
  5. Step 5: Solve for x
    x = 124,190,727.08/10,184.48
  6. Step 6: Final answer
    x = 12,194.12

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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.