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Finding the Fourth Proportional to 9,896.59, 13,653.90 and 5,644.59

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Solution

The fourth proportional to 9,896.59, 13,653.90 and 5,644.59 is: 7,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.59 : 13,653.90 = 5,644.59 : x
  2. Step 2: Convert to fraction form
    9,896.59/13,653.90 = 5,644.59/x
  3. Step 3: Cross multiply
    9,896.59x = 13,653.90 × 5,644.59
  4. Step 4: Simplify right side
    9,896.59x = 77,070,693.00
  5. Step 5: Solve for x
    x = 77,070,693.00/9,896.59
  6. Step 6: Final answer
    x = 7,787.60

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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.