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Finding the Fourth Proportional to 11,447.16, 15,798.41 and 6,973.54

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Solution

The fourth proportional to 11,447.16, 15,798.41 and 6,973.54 is: 9,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.16 : 15,798.41 = 6,973.54 : x
  2. Step 2: Convert to fraction form
    11,447.16/15,798.41 = 6,973.54/x
  3. Step 3: Cross multiply
    11,447.16x = 15,798.41 × 6,973.54
  4. Step 4: Simplify right side
    11,447.16x = 110,170,844.07
  5. Step 5: Solve for x
    x = 110,170,844.07/11,447.16
  6. Step 6: Final answer
    x = 9,624.29

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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.