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Finding the Fourth Proportional to 6,580.84, 9,834.86 and 5,895.58

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Solution

The fourth proportional to 6,580.84, 9,834.86 and 5,895.58 is: 8,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.84 : 9,834.86 = 5,895.58 : x
  2. Step 2: Convert to fraction form
    6,580.84/9,834.86 = 5,895.58/x
  3. Step 3: Cross multiply
    6,580.84x = 9,834.86 × 5,895.58
  4. Step 4: Simplify right side
    6,580.84x = 57,982,203.92
  5. Step 5: Solve for x
    x = 57,982,203.92/6,580.84
  6. Step 6: Final answer
    x = 8,810.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.