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Finding the Fourth Proportional to 13,164.66, 19,750.24 and 9,276.66

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Solution

The fourth proportional to 13,164.66, 19,750.24 and 9,276.66 is: 13,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.66 : 19,750.24 = 9,276.66 : x
  2. Step 2: Convert to fraction form
    13,164.66/19,750.24 = 9,276.66/x
  3. Step 3: Cross multiply
    13,164.66x = 19,750.24 × 9,276.66
  4. Step 4: Simplify right side
    13,164.66x = 183,216,261.40
  5. Step 5: Solve for x
    x = 183,216,261.40/13,164.66
  6. Step 6: Final answer
    x = 13,917.28

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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.