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Finding the Fourth Proportional to 8,306.82, 12,460.14 and 4,802.10

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Solution

The fourth proportional to 8,306.82, 12,460.14 and 4,802.10 is: 7,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.82 : 12,460.14 = 4,802.10 : x
  2. Step 2: Convert to fraction form
    8,306.82/12,460.14 = 4,802.10/x
  3. Step 3: Cross multiply
    8,306.82x = 12,460.14 × 4,802.10
  4. Step 4: Simplify right side
    8,306.82x = 59,834,838.29
  5. Step 5: Solve for x
    x = 59,834,838.29/8,306.82
  6. Step 6: Final answer
    x = 7,203.10

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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.