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Finding the Fourth Proportional to 10,016.64, 13,828.08 and 7,773.36

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Solution

The fourth proportional to 10,016.64, 13,828.08 and 7,773.36 is: 10,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.64 : 13,828.08 = 7,773.36 : x
  2. Step 2: Convert to fraction form
    10,016.64/13,828.08 = 7,773.36/x
  3. Step 3: Cross multiply
    10,016.64x = 13,828.08 × 7,773.36
  4. Step 4: Simplify right side
    10,016.64x = 107,490,643.95
  5. Step 5: Solve for x
    x = 107,490,643.95/10,016.64
  6. Step 6: Final answer
    x = 10,731.21

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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.