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Finding the Fourth Proportional to 6,961.77, 9,603.88 and 4,570.81

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Solution

The fourth proportional to 6,961.77, 9,603.88 and 4,570.81 is: 6,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.77 : 9,603.88 = 4,570.81 : x
  2. Step 2: Convert to fraction form
    6,961.77/9,603.88 = 4,570.81/x
  3. Step 3: Cross multiply
    6,961.77x = 9,603.88 × 4,570.81
  4. Step 4: Simplify right side
    6,961.77x = 43,897,475.31
  5. Step 5: Solve for x
    x = 43,897,475.31/6,961.77
  6. Step 6: Final answer
    x = 6,305.50

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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.