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Finding the Fourth Proportional to 29,698.98, 44,555.13 and 9,977.00

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Solution

The fourth proportional to 29,698.98, 44,555.13 and 9,977.00 is: 14,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.98 : 44,555.13 = 9,977.00 : x
  2. Step 2: Convert to fraction form
    29,698.98/44,555.13 = 9,977.00/x
  3. Step 3: Cross multiply
    29,698.98x = 44,555.13 × 9,977.00
  4. Step 4: Simplify right side
    29,698.98x = 444,526,617.52
  5. Step 5: Solve for x
    x = 444,526,617.52/29,698.98
  6. Step 6: Final answer
    x = 14,967.74

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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.