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Finding the Fourth Proportional to 6,510.72, 9,774.72 and 6,286.08

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Solution

The fourth proportional to 6,510.72, 9,774.72 and 6,286.08 is: 9,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.72 : 9,774.72 = 6,286.08 : x
  2. Step 2: Convert to fraction form
    6,510.72/9,774.72 = 6,286.08/x
  3. Step 3: Cross multiply
    6,510.72x = 9,774.72 × 6,286.08
  4. Step 4: Simplify right side
    6,510.72x = 61,444,671.90
  5. Step 5: Solve for x
    x = 61,444,671.90/6,510.72
  6. Step 6: Final answer
    x = 9,437.46

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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.