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Finding the Fourth Proportional to 9,323.97, 13,992.09 and 4,395

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Solution

The fourth proportional to 9,323.97, 13,992.09 and 4,395 is: 6,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.97 : 13,992.09 = 4,395 : x
  2. Step 2: Convert to fraction form
    9,323.97/13,992.09 = 4,395/x
  3. Step 3: Cross multiply
    9,323.97x = 13,992.09 × 4,395
  4. Step 4: Simplify right side
    9,323.97x = 61,495,235.55
  5. Step 5: Solve for x
    x = 61,495,235.55/9,323.97
  6. Step 6: Final answer
    x = 6,595.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.