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Finding the Fourth Proportional to 14,007, 21,003.70 and 6,605.24

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Solution

The fourth proportional to 14,007, 21,003.70 and 6,605.24 is: 9,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007 : 21,003.70 = 6,605.24 : x
  2. Step 2: Convert to fraction form
    14,007/21,003.70 = 6,605.24/x
  3. Step 3: Cross multiply
    14,007x = 21,003.70 × 6,605.24
  4. Step 4: Simplify right side
    14,007x = 138,734,479.39
  5. Step 5: Solve for x
    x = 138,734,479.39/14,007
  6. Step 6: Final answer
    x = 9,904.65

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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.