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Finding the Fourth Proportional to 9,980.00, 13,772.24 and 5,504.16

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Solution

The fourth proportional to 9,980.00, 13,772.24 and 5,504.16 is: 7,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.00 : 13,772.24 = 5,504.16 : x
  2. Step 2: Convert to fraction form
    9,980.00/13,772.24 = 5,504.16/x
  3. Step 3: Cross multiply
    9,980.00x = 13,772.24 × 5,504.16
  4. Step 4: Simplify right side
    9,980.00x = 75,804,585.00
  5. Step 5: Solve for x
    x = 75,804,585.00/9,980.00
  6. Step 6: Final answer
    x = 7,595.65

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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.