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Finding the Fourth Proportional to 9,274.98, 12,803.91 and 5,295.32

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Solution

The fourth proportional to 9,274.98, 12,803.91 and 5,295.32 is: 7,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.98 : 12,803.91 = 5,295.32 : x
  2. Step 2: Convert to fraction form
    9,274.98/12,803.91 = 5,295.32/x
  3. Step 3: Cross multiply
    9,274.98x = 12,803.91 × 5,295.32
  4. Step 4: Simplify right side
    9,274.98x = 67,800,774.22
  5. Step 5: Solve for x
    x = 67,800,774.22/9,274.98
  6. Step 6: Final answer
    x = 7,310.07

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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.