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Finding the Fourth Proportional to 6,221.84, 8,585.79 and 3,569

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Solution

The fourth proportional to 6,221.84, 8,585.79 and 3,569 is: 4,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.84 : 8,585.79 = 3,569 : x
  2. Step 2: Convert to fraction form
    6,221.84/8,585.79 = 3,569/x
  3. Step 3: Cross multiply
    6,221.84x = 8,585.79 × 3,569
  4. Step 4: Simplify right side
    6,221.84x = 30,642,684.51
  5. Step 5: Solve for x
    x = 30,642,684.51/6,221.84
  6. Step 6: Final answer
    x = 4,925.02

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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.