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Finding the Fourth Proportional to 6,562.71, 9,848.79 and 4,477.77

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Solution

The fourth proportional to 6,562.71, 9,848.79 and 4,477.77 is: 6,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.71 : 9,848.79 = 4,477.77 : x
  2. Step 2: Convert to fraction form
    6,562.71/9,848.79 = 4,477.77/x
  3. Step 3: Cross multiply
    6,562.71x = 9,848.79 × 4,477.77
  4. Step 4: Simplify right side
    6,562.71x = 44,100,616.40
  5. Step 5: Solve for x
    x = 44,100,616.40/6,562.71
  6. Step 6: Final answer
    x = 6,719.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.