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Finding the Fourth Proportional to 6,516.53, 9,774.79 and 3,557.93

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Solution

The fourth proportional to 6,516.53, 9,774.79 and 3,557.93 is: 5,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.53 : 9,774.79 = 3,557.93 : x
  2. Step 2: Convert to fraction form
    6,516.53/9,774.79 = 3,557.93/x
  3. Step 3: Cross multiply
    6,516.53x = 9,774.79 × 3,557.93
  4. Step 4: Simplify right side
    6,516.53x = 34,778,018.58
  5. Step 5: Solve for x
    x = 34,778,018.58/6,516.53
  6. Step 6: Final answer
    x = 5,336.89

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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.