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Finding the Fourth Proportional to 6,269.84, 9,358.98 and 5,813

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Solution

The fourth proportional to 6,269.84, 9,358.98 and 5,813 is: 8,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.84 : 9,358.98 = 5,813 : x
  2. Step 2: Convert to fraction form
    6,269.84/9,358.98 = 5,813/x
  3. Step 3: Cross multiply
    6,269.84x = 9,358.98 × 5,813
  4. Step 4: Simplify right side
    6,269.84x = 54,403,750.74
  5. Step 5: Solve for x
    x = 54,403,750.74/6,269.84
  6. Step 6: Final answer
    x = 8,677.06

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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.