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Finding the Fourth Proportional to 4,334.74, 6,509.31 and 4,334.74

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Solution

The fourth proportional to 4,334.74, 6,509.31 and 4,334.74 is: 6,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.74 : 6,509.31 = 4,334.74 : x
  2. Step 2: Convert to fraction form
    4,334.74/6,509.31 = 4,334.74/x
  3. Step 3: Cross multiply
    4,334.74x = 6,509.31 × 4,334.74
  4. Step 4: Simplify right side
    4,334.74x = 28,216,166.43
  5. Step 5: Solve for x
    x = 28,216,166.43/4,334.74
  6. Step 6: Final answer
    x = 6,509.31

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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.