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Finding the Fourth Proportional to 6,587.84, 9,896.16 and 5,357.12

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Solution

The fourth proportional to 6,587.84, 9,896.16 and 5,357.12 is: 8,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.84 : 9,896.16 = 5,357.12 : x
  2. Step 2: Convert to fraction form
    6,587.84/9,896.16 = 5,357.12/x
  3. Step 3: Cross multiply
    6,587.84x = 9,896.16 × 5,357.12
  4. Step 4: Simplify right side
    6,587.84x = 53,014,916.66
  5. Step 5: Solve for x
    x = 53,014,916.66/6,587.84
  6. Step 6: Final answer
    x = 8,047.39

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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.