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Finding the Fourth Proportional to 6,516.35, 9,783.18 and 5,362.71

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Solution

The fourth proportional to 6,516.35, 9,783.18 and 5,362.71 is: 8,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.35 : 9,783.18 = 5,362.71 : x
  2. Step 2: Convert to fraction form
    6,516.35/9,783.18 = 5,362.71/x
  3. Step 3: Cross multiply
    6,516.35x = 9,783.18 × 5,362.71
  4. Step 4: Simplify right side
    6,516.35x = 52,464,320.53
  5. Step 5: Solve for x
    x = 52,464,320.53/6,516.35
  6. Step 6: Final answer
    x = 8,051.18

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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.