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Finding the Fourth Proportional to 13,464.13, 18,580 and 7,495.68

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Solution

The fourth proportional to 13,464.13, 18,580 and 7,495.68 is: 10,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.13 : 18,580 = 7,495.68 : x
  2. Step 2: Convert to fraction form
    13,464.13/18,580 = 7,495.68/x
  3. Step 3: Cross multiply
    13,464.13x = 18,580 × 7,495.68
  4. Step 4: Simplify right side
    13,464.13x = 139,269,734.40
  5. Step 5: Solve for x
    x = 139,269,734.40/13,464.13
  6. Step 6: Final answer
    x = 10,343.76

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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.