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Finding the Fourth Proportional to 30,970.77, 46,456.76 and 9,914.82

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Solution

The fourth proportional to 30,970.77, 46,456.76 and 9,914.82 is: 14,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.77 : 46,456.76 = 9,914.82 : x
  2. Step 2: Convert to fraction form
    30,970.77/46,456.76 = 9,914.82/x
  3. Step 3: Cross multiply
    30,970.77x = 46,456.76 × 9,914.82
  4. Step 4: Simplify right side
    30,970.77x = 460,610,413.18
  5. Step 5: Solve for x
    x = 460,610,413.18/30,970.77
  6. Step 6: Final answer
    x = 14,872.42

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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.