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Finding the Fourth Proportional to 13,474.77, 18,594.69 and 7,506.11

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Solution

The fourth proportional to 13,474.77, 18,594.69 and 7,506.11 is: 10,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.77 : 18,594.69 = 7,506.11 : x
  2. Step 2: Convert to fraction form
    13,474.77/18,594.69 = 7,506.11/x
  3. Step 3: Cross multiply
    13,474.77x = 18,594.69 × 7,506.11
  4. Step 4: Simplify right side
    13,474.77x = 139,573,788.56
  5. Step 5: Solve for x
    x = 139,573,788.56/13,474.77
  6. Step 6: Final answer
    x = 10,358.16

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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.