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Finding the Fourth Proportional to 14,402.25, 19,875.11 and 7,778.25

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Solution

The fourth proportional to 14,402.25, 19,875.11 and 7,778.25 is: 10,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.25 : 19,875.11 = 7,778.25 : x
  2. Step 2: Convert to fraction form
    14,402.25/19,875.11 = 7,778.25/x
  3. Step 3: Cross multiply
    14,402.25x = 19,875.11 × 7,778.25
  4. Step 4: Simplify right side
    14,402.25x = 154,593,535.47
  5. Step 5: Solve for x
    x = 154,593,535.47/14,402.25
  6. Step 6: Final answer
    x = 10,733.99

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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.