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Finding the Fourth Proportional to 30,894.47, 46,325.10 and 9,828.80

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Solution

The fourth proportional to 30,894.47, 46,325.10 and 9,828.80 is: 14,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.47 : 46,325.10 = 9,828.80 : x
  2. Step 2: Convert to fraction form
    30,894.47/46,325.10 = 9,828.80/x
  3. Step 3: Cross multiply
    30,894.47x = 46,325.10 × 9,828.80
  4. Step 4: Simplify right side
    30,894.47x = 455,320,142.88
  5. Step 5: Solve for x
    x = 455,320,142.88/30,894.47
  6. Step 6: Final answer
    x = 14,737.92

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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.