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Finding the Fourth Proportional to 10,508.94, 14,499 and 6,259.68

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Solution

The fourth proportional to 10,508.94, 14,499 and 6,259.68 is: 8,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.94 : 14,499 = 6,259.68 : x
  2. Step 2: Convert to fraction form
    10,508.94/14,499 = 6,259.68/x
  3. Step 3: Cross multiply
    10,508.94x = 14,499 × 6,259.68
  4. Step 4: Simplify right side
    10,508.94x = 90,759,100.32
  5. Step 5: Solve for x
    x = 90,759,100.32/10,508.94
  6. Step 6: Final answer
    x = 8,636.37

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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.