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Finding the Fourth Proportional to 6,460.34, 9,690.81 and 2,300.38

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Solution

The fourth proportional to 6,460.34, 9,690.81 and 2,300.38 is: 3,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.34 : 9,690.81 = 2,300.38 : x
  2. Step 2: Convert to fraction form
    6,460.34/9,690.81 = 2,300.38/x
  3. Step 3: Cross multiply
    6,460.34x = 9,690.81 × 2,300.38
  4. Step 4: Simplify right side
    6,460.34x = 22,292,545.51
  5. Step 5: Solve for x
    x = 22,292,545.51/6,460.34
  6. Step 6: Final answer
    x = 3,450.68

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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.