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Finding the Fourth Proportional to 13,106.96, 18,087 and 7,802.36

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Solution

The fourth proportional to 13,106.96, 18,087 and 7,802.36 is: 10,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.96 : 18,087 = 7,802.36 : x
  2. Step 2: Convert to fraction form
    13,106.96/18,087 = 7,802.36/x
  3. Step 3: Cross multiply
    13,106.96x = 18,087 × 7,802.36
  4. Step 4: Simplify right side
    13,106.96x = 141,121,285.32
  5. Step 5: Solve for x
    x = 141,121,285.32/13,106.96
  6. Step 6: Final answer
    x = 10,766.90

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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.