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Finding the Fourth Proportional to 30,878.22, 46,313.01 and 9,818.22

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Solution

The fourth proportional to 30,878.22, 46,313.01 and 9,818.22 is: 14,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.22 : 46,313.01 = 9,818.22 : x
  2. Step 2: Convert to fraction form
    30,878.22/46,313.01 = 9,818.22/x
  3. Step 3: Cross multiply
    30,878.22x = 46,313.01 × 9,818.22
  4. Step 4: Simplify right side
    30,878.22x = 454,711,321.04
  5. Step 5: Solve for x
    x = 454,711,321.04/30,878.22
  6. Step 6: Final answer
    x = 14,725.96

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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.