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Finding the Fourth Proportional to 30,832.76, 46,254.97 and 9,778.11

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Solution

The fourth proportional to 30,832.76, 46,254.97 and 9,778.11 is: 14,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.76 : 46,254.97 = 9,778.11 : x
  2. Step 2: Convert to fraction form
    30,832.76/46,254.97 = 9,778.11/x
  3. Step 3: Cross multiply
    30,832.76x = 46,254.97 × 9,778.11
  4. Step 4: Simplify right side
    30,832.76x = 452,286,184.71
  5. Step 5: Solve for x
    x = 452,286,184.71/30,832.76
  6. Step 6: Final answer
    x = 14,669.01

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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.