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Finding the Fourth Proportional to 30,842.69, 46,264.05 and 7,469.15

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Solution

The fourth proportional to 30,842.69, 46,264.05 and 7,469.15 is: 11,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.69 : 46,264.05 = 7,469.15 : x
  2. Step 2: Convert to fraction form
    30,842.69/46,264.05 = 7,469.15/x
  3. Step 3: Cross multiply
    30,842.69x = 46,264.05 × 7,469.15
  4. Step 4: Simplify right side
    30,842.69x = 345,552,897.74
  5. Step 5: Solve for x
    x = 345,552,897.74/30,842.69
  6. Step 6: Final answer
    x = 11,203.72

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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.