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Finding the Fourth Proportional to 6,969.86, 10,454.81 and 4,899.13

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Solution

The fourth proportional to 6,969.86, 10,454.81 and 4,899.13 is: 7,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.86 : 10,454.81 = 4,899.13 : x
  2. Step 2: Convert to fraction form
    6,969.86/10,454.81 = 4,899.13/x
  3. Step 3: Cross multiply
    6,969.86x = 10,454.81 × 4,899.13
  4. Step 4: Simplify right side
    6,969.86x = 51,219,436.00
  5. Step 5: Solve for x
    x = 51,219,436.00/6,969.86
  6. Step 6: Final answer
    x = 7,348.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.