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Finding the Fourth Proportional to 6,304.69, 9,456.70 and 2,355.63

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Solution

The fourth proportional to 6,304.69, 9,456.70 and 2,355.63 is: 3,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.69 : 9,456.70 = 2,355.63 : x
  2. Step 2: Convert to fraction form
    6,304.69/9,456.70 = 2,355.63/x
  3. Step 3: Cross multiply
    6,304.69x = 9,456.70 × 2,355.63
  4. Step 4: Simplify right side
    6,304.69x = 22,276,486.22
  5. Step 5: Solve for x
    x = 22,276,486.22/6,304.69
  6. Step 6: Final answer
    x = 3,533.32

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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.