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Finding the Fourth Proportional to 9,502.70, 13,113.24 and 5,310.95

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Solution

The fourth proportional to 9,502.70, 13,113.24 and 5,310.95 is: 7,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.70 : 13,113.24 = 5,310.95 : x
  2. Step 2: Convert to fraction form
    9,502.70/13,113.24 = 5,310.95/x
  3. Step 3: Cross multiply
    9,502.70x = 13,113.24 × 5,310.95
  4. Step 4: Simplify right side
    9,502.70x = 69,643,761.98
  5. Step 5: Solve for x
    x = 69,643,761.98/9,502.70
  6. Step 6: Final answer
    x = 7,328.84

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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.