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Finding the Fourth Proportional to 6,323.94, 9,461.07 and 5,585.22

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Solution

The fourth proportional to 6,323.94, 9,461.07 and 5,585.22 is: 8,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.94 : 9,461.07 = 5,585.22 : x
  2. Step 2: Convert to fraction form
    6,323.94/9,461.07 = 5,585.22/x
  3. Step 3: Cross multiply
    6,323.94x = 9,461.07 × 5,585.22
  4. Step 4: Simplify right side
    6,323.94x = 52,842,157.39
  5. Step 5: Solve for x
    x = 52,842,157.39/6,323.94
  6. Step 6: Final answer
    x = 8,355.89

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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.