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Finding the Fourth Proportional to 30,801.33, 46,207.70 and 9,746.67

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Solution

The fourth proportional to 30,801.33, 46,207.70 and 9,746.67 is: 14,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.33 : 46,207.70 = 9,746.67 : x
  2. Step 2: Convert to fraction form
    30,801.33/46,207.70 = 9,746.67/x
  3. Step 3: Cross multiply
    30,801.33x = 46,207.70 × 9,746.67
  4. Step 4: Simplify right side
    30,801.33x = 450,371,203.36
  5. Step 5: Solve for x
    x = 450,371,203.36/30,801.33
  6. Step 6: Final answer
    x = 14,621.81

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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.