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Finding the Fourth Proportional to 9,381, 12,946.02 and 5,655.24

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Solution

The fourth proportional to 9,381, 12,946.02 and 5,655.24 is: 7,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381 : 12,946.02 = 5,655.24 : x
  2. Step 2: Convert to fraction form
    9,381/12,946.02 = 5,655.24/x
  3. Step 3: Cross multiply
    9,381x = 12,946.02 × 5,655.24
  4. Step 4: Simplify right side
    9,381x = 73,212,850.14
  5. Step 5: Solve for x
    x = 73,212,850.14/9,381
  6. Step 6: Final answer
    x = 7,804.38

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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.