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Finding the Fourth Proportional to 9,292.44, 12,813.78 and 7,029.06

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Solution

The fourth proportional to 9,292.44, 12,813.78 and 7,029.06 is: 9,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.44 : 12,813.78 = 7,029.06 : x
  2. Step 2: Convert to fraction form
    9,292.44/12,813.78 = 7,029.06/x
  3. Step 3: Cross multiply
    9,292.44x = 12,813.78 × 7,029.06
  4. Step 4: Simplify right side
    9,292.44x = 90,068,828.45
  5. Step 5: Solve for x
    x = 90,068,828.45/9,292.44
  6. Step 6: Final answer
    x = 9,692.70

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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.