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Finding the Fourth Proportional to 17,798.00, 24,560.75 and 9,840.02

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Solution

The fourth proportional to 17,798.00, 24,560.75 and 9,840.02 is: 13,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,798.00 : 24,560.75 = 9,840.02 : x
  2. Step 2: Convert to fraction form
    17,798.00/24,560.75 = 9,840.02/x
  3. Step 3: Cross multiply
    17,798.00x = 24,560.75 × 9,840.02
  4. Step 4: Simplify right side
    17,798.00x = 241,678,173.01
  5. Step 5: Solve for x
    x = 241,678,173.01/17,798.00
  6. Step 6: Final answer
    x = 13,578.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.