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Finding the Fourth Proportional to 30,898.96, 46,330.82 and 9,834.92

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Solution

The fourth proportional to 30,898.96, 46,330.82 and 9,834.92 is: 14,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.96 : 46,330.82 = 9,834.92 : x
  2. Step 2: Convert to fraction form
    30,898.96/46,330.82 = 9,834.92/x
  3. Step 3: Cross multiply
    30,898.96x = 46,330.82 × 9,834.92
  4. Step 4: Simplify right side
    30,898.96x = 455,659,908.23
  5. Step 5: Solve for x
    x = 455,659,908.23/30,898.96
  6. Step 6: Final answer
    x = 14,746.77

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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.