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Finding the Fourth Proportional to 13,477.98, 18,599.49 and 7,509.54

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Solution

The fourth proportional to 13,477.98, 18,599.49 and 7,509.54 is: 10,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.98 : 18,599.49 = 7,509.54 : x
  2. Step 2: Convert to fraction form
    13,477.98/18,599.49 = 7,509.54/x
  3. Step 3: Cross multiply
    13,477.98x = 18,599.49 × 7,509.54
  4. Step 4: Simplify right side
    13,477.98x = 139,673,614.13
  5. Step 5: Solve for x
    x = 139,673,614.13/13,477.98
  6. Step 6: Final answer
    x = 10,363.10

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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.