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Finding the Fourth Proportional to 13,410.78, 18,506.88 and 7,822.86

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Solution

The fourth proportional to 13,410.78, 18,506.88 and 7,822.86 is: 10,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.78 : 18,506.88 = 7,822.86 : x
  2. Step 2: Convert to fraction form
    13,410.78/18,506.88 = 7,822.86/x
  3. Step 3: Cross multiply
    13,410.78x = 18,506.88 × 7,822.86
  4. Step 4: Simplify right side
    13,410.78x = 144,776,731.28
  5. Step 5: Solve for x
    x = 144,776,731.28/13,410.78
  6. Step 6: Final answer
    x = 10,795.55

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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.