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Finding the Fourth Proportional to 4,509.51, 6,724.59 and 4,150.47

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Solution

The fourth proportional to 4,509.51, 6,724.59 and 4,150.47 is: 6,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.51 : 6,724.59 = 4,150.47 : x
  2. Step 2: Convert to fraction form
    4,509.51/6,724.59 = 4,150.47/x
  3. Step 3: Cross multiply
    4,509.51x = 6,724.59 × 4,150.47
  4. Step 4: Simplify right side
    4,509.51x = 27,910,218.71
  5. Step 5: Solve for x
    x = 27,910,218.71/4,509.51
  6. Step 6: Final answer
    x = 6,189.20

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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.