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Finding the Fourth Proportional to 6,533.16, 9,799.76 and 6,497.52

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Solution

The fourth proportional to 6,533.16, 9,799.76 and 6,497.52 is: 9,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.16 : 9,799.76 = 6,497.52 : x
  2. Step 2: Convert to fraction form
    6,533.16/9,799.76 = 6,497.52/x
  3. Step 3: Cross multiply
    6,533.16x = 9,799.76 × 6,497.52
  4. Step 4: Simplify right side
    6,533.16x = 63,674,136.60
  5. Step 5: Solve for x
    x = 63,674,136.60/6,533.16
  6. Step 6: Final answer
    x = 9,746.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.