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Finding the Fourth Proportional to 10,730.48, 14,808.48 and 6,257.12

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Solution

The fourth proportional to 10,730.48, 14,808.48 and 6,257.12 is: 8,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.48 : 14,808.48 = 6,257.12 : x
  2. Step 2: Convert to fraction form
    10,730.48/14,808.48 = 6,257.12/x
  3. Step 3: Cross multiply
    10,730.48x = 14,808.48 × 6,257.12
  4. Step 4: Simplify right side
    10,730.48x = 92,658,436.38
  5. Step 5: Solve for x
    x = 92,658,436.38/10,730.48
  6. Step 6: Final answer
    x = 8,635.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.