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Finding the Fourth Proportional to 30,919.71, 46,382.16 and 9,862.77

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Solution

The fourth proportional to 30,919.71, 46,382.16 and 9,862.77 is: 14,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.71 : 46,382.16 = 9,862.77 : x
  2. Step 2: Convert to fraction form
    30,919.71/46,382.16 = 9,862.77/x
  3. Step 3: Cross multiply
    30,919.71x = 46,382.16 × 9,862.77
  4. Step 4: Simplify right side
    30,919.71x = 457,456,526.87
  5. Step 5: Solve for x
    x = 457,456,526.87/30,919.71
  6. Step 6: Final answer
    x = 14,794.98

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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.