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Finding the Fourth Proportional to 7,046.21, 9,701.64 and 5,981.77

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Solution

The fourth proportional to 7,046.21, 9,701.64 and 5,981.77 is: 8,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.21 : 9,701.64 = 5,981.77 : x
  2. Step 2: Convert to fraction form
    7,046.21/9,701.64 = 5,981.77/x
  3. Step 3: Cross multiply
    7,046.21x = 9,701.64 × 5,981.77
  4. Step 4: Simplify right side
    7,046.21x = 58,032,911.42
  5. Step 5: Solve for x
    x = 58,032,911.42/7,046.21
  6. Step 6: Final answer
    x = 8,236.05

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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.