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Finding the Fourth Proportional to 4,356.84, 6,509.01 and 3,473.64

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Solution

The fourth proportional to 4,356.84, 6,509.01 and 3,473.64 is: 5,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.84 : 6,509.01 = 3,473.64 : x
  2. Step 2: Convert to fraction form
    4,356.84/6,509.01 = 3,473.64/x
  3. Step 3: Cross multiply
    4,356.84x = 6,509.01 × 3,473.64
  4. Step 4: Simplify right side
    4,356.84x = 22,609,957.50
  5. Step 5: Solve for x
    x = 22,609,957.50/4,356.84
  6. Step 6: Final answer
    x = 5,189.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.