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Finding the Fourth Proportional to 30,671.10, 46,006.64 and 9,894.60

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Solution

The fourth proportional to 30,671.10, 46,006.64 and 9,894.60 is: 14,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.10 : 46,006.64 = 9,894.60 : x
  2. Step 2: Convert to fraction form
    30,671.10/46,006.64 = 9,894.60/x
  3. Step 3: Cross multiply
    30,671.10x = 46,006.64 × 9,894.60
  4. Step 4: Simplify right side
    30,671.10x = 455,217,300.14
  5. Step 5: Solve for x
    x = 455,217,300.14/30,671.10
  6. Step 6: Final answer
    x = 14,841.90

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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.