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Finding the Fourth Proportional to 6,304.17, 8,699.67 and 3,509.67

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Solution

The fourth proportional to 6,304.17, 8,699.67 and 3,509.67 is: 4,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.17 : 8,699.67 = 3,509.67 : x
  2. Step 2: Convert to fraction form
    6,304.17/8,699.67 = 3,509.67/x
  3. Step 3: Cross multiply
    6,304.17x = 8,699.67 × 3,509.67
  4. Step 4: Simplify right side
    6,304.17x = 30,532,970.81
  5. Step 5: Solve for x
    x = 30,532,970.81/6,304.17
  6. Step 6: Final answer
    x = 4,843.30

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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.