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Finding the Fourth Proportional to 14,507.66, 21,762.63 and 6,187.74

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Solution

The fourth proportional to 14,507.66, 21,762.63 and 6,187.74 is: 9,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.66 : 21,762.63 = 6,187.74 : x
  2. Step 2: Convert to fraction form
    14,507.66/21,762.63 = 6,187.74/x
  3. Step 3: Cross multiply
    14,507.66x = 21,762.63 × 6,187.74
  4. Step 4: Simplify right side
    14,507.66x = 134,661,414.55
  5. Step 5: Solve for x
    x = 134,661,414.55/14,507.66
  6. Step 6: Final answer
    x = 9,282.09

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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.