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Finding the Fourth Proportional to 6,533.18, 9,787.42 and 5,065.14

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Solution

The fourth proportional to 6,533.18, 9,787.42 and 5,065.14 is: 7,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.18 : 9,787.42 = 5,065.14 : x
  2. Step 2: Convert to fraction form
    6,533.18/9,787.42 = 5,065.14/x
  3. Step 3: Cross multiply
    6,533.18x = 9,787.42 × 5,065.14
  4. Step 4: Simplify right side
    6,533.18x = 49,574,652.54
  5. Step 5: Solve for x
    x = 49,574,652.54/6,533.18
  6. Step 6: Final answer
    x = 7,588.14

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1.5x scale

Why These Related Problems?

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