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Finding the Fourth Proportional to 6,973.98, 9,624.06 and 3,830.14

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Solution

The fourth proportional to 6,973.98, 9,624.06 and 3,830.14 is: 5,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.98 : 9,624.06 = 3,830.14 : x
  2. Step 2: Convert to fraction form
    6,973.98/9,624.06 = 3,830.14/x
  3. Step 3: Cross multiply
    6,973.98x = 9,624.06 × 3,830.14
  4. Step 4: Simplify right side
    6,973.98x = 36,861,497.17
  5. Step 5: Solve for x
    x = 36,861,497.17/6,973.98
  6. Step 6: Final answer
    x = 5,285.58

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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.