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Finding the Fourth Proportional to 12,029.02, 16,594.41 and 7,310.14

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Solution

The fourth proportional to 12,029.02, 16,594.41 and 7,310.14 is: 10,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.02 : 16,594.41 = 7,310.14 : x
  2. Step 2: Convert to fraction form
    12,029.02/16,594.41 = 7,310.14/x
  3. Step 3: Cross multiply
    12,029.02x = 16,594.41 × 7,310.14
  4. Step 4: Simplify right side
    12,029.02x = 121,307,460.32
  5. Step 5: Solve for x
    x = 121,307,460.32/12,029.02
  6. Step 6: Final answer
    x = 10,084.57

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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.