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Finding the Fourth Proportional to 30,671.61, 46,007.42 and 9,611.65

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Solution

The fourth proportional to 30,671.61, 46,007.42 and 9,611.65 is: 14,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.61 : 46,007.42 = 9,611.65 : x
  2. Step 2: Convert to fraction form
    30,671.61/46,007.42 = 9,611.65/x
  3. Step 3: Cross multiply
    30,671.61x = 46,007.42 × 9,611.65
  4. Step 4: Simplify right side
    30,671.61x = 442,207,005.15
  5. Step 5: Solve for x
    x = 442,207,005.15/30,671.61
  6. Step 6: Final answer
    x = 14,417.47

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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.