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Finding the Fourth Proportional to 7,454.94, 10,299.47 and 6,347.67

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Solution

The fourth proportional to 7,454.94, 10,299.47 and 6,347.67 is: 8,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.94 : 10,299.47 = 6,347.67 : x
  2. Step 2: Convert to fraction form
    7,454.94/10,299.47 = 6,347.67/x
  3. Step 3: Cross multiply
    7,454.94x = 10,299.47 × 6,347.67
  4. Step 4: Simplify right side
    7,454.94x = 65,377,605.00
  5. Step 5: Solve for x
    x = 65,377,605.00/7,454.94
  6. Step 6: Final answer
    x = 8,769.70

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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.