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Finding the Fourth Proportional to 6,802.84, 9,393.36 and 4,566.72

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Solution

The fourth proportional to 6,802.84, 9,393.36 and 4,566.72 is: 6,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.84 : 9,393.36 = 4,566.72 : x
  2. Step 2: Convert to fraction form
    6,802.84/9,393.36 = 4,566.72/x
  3. Step 3: Cross multiply
    6,802.84x = 9,393.36 × 4,566.72
  4. Step 4: Simplify right side
    6,802.84x = 42,896,844.98
  5. Step 5: Solve for x
    x = 42,896,844.98/6,802.84
  6. Step 6: Final answer
    x = 6,305.73

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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.