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Finding the Fourth Proportional to 7,051.11, 9,727.07 and 5,931.64

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Solution

The fourth proportional to 7,051.11, 9,727.07 and 5,931.64 is: 8,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.11 : 9,727.07 = 5,931.64 : x
  2. Step 2: Convert to fraction form
    7,051.11/9,727.07 = 5,931.64/x
  3. Step 3: Cross multiply
    7,051.11x = 9,727.07 × 5,931.64
  4. Step 4: Simplify right side
    7,051.11x = 57,697,468.01
  5. Step 5: Solve for x
    x = 57,697,468.01/7,051.11
  6. Step 6: Final answer
    x = 8,182.75

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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.