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Finding the Fourth Proportional to 10,624.77, 14,662.08 and 5,909.09

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Solution

The fourth proportional to 10,624.77, 14,662.08 and 5,909.09 is: 8,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.77 : 14,662.08 = 5,909.09 : x
  2. Step 2: Convert to fraction form
    10,624.77/14,662.08 = 5,909.09/x
  3. Step 3: Cross multiply
    10,624.77x = 14,662.08 × 5,909.09
  4. Step 4: Simplify right side
    10,624.77x = 86,639,477.00
  5. Step 5: Solve for x
    x = 86,639,477.00/10,624.77
  6. Step 6: Final answer
    x = 8,154.48

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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.