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Finding the Fourth Proportional to 10,583.82, 14,605.74 and 6,107.76

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Solution

The fourth proportional to 10,583.82, 14,605.74 and 6,107.76 is: 8,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.82 : 14,605.74 = 6,107.76 : x
  2. Step 2: Convert to fraction form
    10,583.82/14,605.74 = 6,107.76/x
  3. Step 3: Cross multiply
    10,583.82x = 14,605.74 × 6,107.76
  4. Step 4: Simplify right side
    10,583.82x = 89,208,354.54
  5. Step 5: Solve for x
    x = 89,208,354.54/10,583.82
  6. Step 6: Final answer
    x = 8,428.75

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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.