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Finding the Fourth Proportional to 6,864.53, 9,473.88 and 4,477.05

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Solution

The fourth proportional to 6,864.53, 9,473.88 and 4,477.05 is: 6,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.53 : 9,473.88 = 4,477.05 : x
  2. Step 2: Convert to fraction form
    6,864.53/9,473.88 = 4,477.05/x
  3. Step 3: Cross multiply
    6,864.53x = 9,473.88 × 4,477.05
  4. Step 4: Simplify right side
    6,864.53x = 42,415,034.45
  5. Step 5: Solve for x
    x = 42,415,034.45/6,864.53
  6. Step 6: Final answer
    x = 6,178.87

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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.