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Finding the Fourth Proportional to 30,819.67, 46,223.35 and 9,756.11

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Solution

The fourth proportional to 30,819.67, 46,223.35 and 9,756.11 is: 14,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.67 : 46,223.35 = 9,756.11 : x
  2. Step 2: Convert to fraction form
    30,819.67/46,223.35 = 9,756.11/x
  3. Step 3: Cross multiply
    30,819.67x = 46,223.35 × 9,756.11
  4. Step 4: Simplify right side
    30,819.67x = 450,960,178.34
  5. Step 5: Solve for x
    x = 450,960,178.34/30,819.67
  6. Step 6: Final answer
    x = 14,632.22

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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.