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Finding the Fourth Proportional to 13,699.32, 18,904.74 and 7,730.82

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Solution

The fourth proportional to 13,699.32, 18,904.74 and 7,730.82 is: 10,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.32 : 18,904.74 = 7,730.82 : x
  2. Step 2: Convert to fraction form
    13,699.32/18,904.74 = 7,730.82/x
  3. Step 3: Cross multiply
    13,699.32x = 18,904.74 × 7,730.82
  4. Step 4: Simplify right side
    13,699.32x = 146,149,142.09
  5. Step 5: Solve for x
    x = 146,149,142.09/13,699.32
  6. Step 6: Final answer
    x = 10,668.35

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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.