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Finding the Fourth Proportional to 13,077.76, 18,047.09 and 7,109.58

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Solution

The fourth proportional to 13,077.76, 18,047.09 and 7,109.58 is: 9,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.76 : 18,047.09 = 7,109.58 : x
  2. Step 2: Convert to fraction form
    13,077.76/18,047.09 = 7,109.58/x
  3. Step 3: Cross multiply
    13,077.76x = 18,047.09 × 7,109.58
  4. Step 4: Simplify right side
    13,077.76x = 128,307,214.06
  5. Step 5: Solve for x
    x = 128,307,214.06/13,077.76
  6. Step 6: Final answer
    x = 9,811.10

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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.