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Finding the Fourth Proportional to 7,644.00, 10,532.56 and 7,118.06

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Solution

The fourth proportional to 7,644.00, 10,532.56 and 7,118.06 is: 9,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.00 : 10,532.56 = 7,118.06 : x
  2. Step 2: Convert to fraction form
    7,644.00/10,532.56 = 7,118.06/x
  3. Step 3: Cross multiply
    7,644.00x = 10,532.56 × 7,118.06
  4. Step 4: Simplify right side
    7,644.00x = 74,971,376.15
  5. Step 5: Solve for x
    x = 74,971,376.15/7,644.00
  6. Step 6: Final answer
    x = 9,807.87

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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.