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Finding the Fourth Proportional to 30,646.32, 45,965.98 and 10,651.97

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Solution

The fourth proportional to 30,646.32, 45,965.98 and 10,651.97 is: 15,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.32 : 45,965.98 = 10,651.97 : x
  2. Step 2: Convert to fraction form
    30,646.32/45,965.98 = 10,651.97/x
  3. Step 3: Cross multiply
    30,646.32x = 45,965.98 × 10,651.97
  4. Step 4: Simplify right side
    30,646.32x = 489,628,368.21
  5. Step 5: Solve for x
    x = 489,628,368.21/30,646.32
  6. Step 6: Final answer
    x = 15,976.74

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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.