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Finding the Fourth Proportional to 9,896.79, 13,657.16 and 5,420.46

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Solution

The fourth proportional to 9,896.79, 13,657.16 and 5,420.46 is: 7,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.79 : 13,657.16 = 5,420.46 : x
  2. Step 2: Convert to fraction form
    9,896.79/13,657.16 = 5,420.46/x
  3. Step 3: Cross multiply
    9,896.79x = 13,657.16 × 5,420.46
  4. Step 4: Simplify right side
    9,896.79x = 74,028,062.39
  5. Step 5: Solve for x
    x = 74,028,062.39/9,896.79
  6. Step 6: Final answer
    x = 7,480.01

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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.