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Finding the Fourth Proportional to 29,698.72, 44,546.52 and 9,977.68

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Solution

The fourth proportional to 29,698.72, 44,546.52 and 9,977.68 is: 14,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.72 : 44,546.52 = 9,977.68 : x
  2. Step 2: Convert to fraction form
    29,698.72/44,546.52 = 9,977.68/x
  3. Step 3: Cross multiply
    29,698.72x = 44,546.52 × 9,977.68
  4. Step 4: Simplify right side
    29,698.72x = 444,470,921.67
  5. Step 5: Solve for x
    x = 444,470,921.67/29,698.72
  6. Step 6: Final answer
    x = 14,966.00

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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.