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Finding the Fourth Proportional to 14,402.63, 19,875.63 and 7,778.63

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Solution

The fourth proportional to 14,402.63, 19,875.63 and 7,778.63 is: 10,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.63 : 19,875.63 = 7,778.63 : x
  2. Step 2: Convert to fraction form
    14,402.63/19,875.63 = 7,778.63/x
  3. Step 3: Cross multiply
    14,402.63x = 19,875.63 × 7,778.63
  4. Step 4: Simplify right side
    14,402.63x = 154,605,072.41
  5. Step 5: Solve for x
    x = 154,605,072.41/14,402.63
  6. Step 6: Final answer
    x = 10,734.51

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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.