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Finding the Fourth Proportional to 30,874.52, 46,315.71 and 9,807.05

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Solution

The fourth proportional to 30,874.52, 46,315.71 and 9,807.05 is: 14,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.52 : 46,315.71 = 9,807.05 : x
  2. Step 2: Convert to fraction form
    30,874.52/46,315.71 = 9,807.05/x
  3. Step 3: Cross multiply
    30,874.52x = 46,315.71 × 9,807.05
  4. Step 4: Simplify right side
    30,874.52x = 454,220,203.14
  5. Step 5: Solve for x
    x = 454,220,203.14/30,874.52
  6. Step 6: Final answer
    x = 14,711.81

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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.