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Finding the Fourth Proportional to 13,887, 19,166.22 and 8,301.24

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Solution

The fourth proportional to 13,887, 19,166.22 and 8,301.24 is: 11,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887 : 19,166.22 = 8,301.24 : x
  2. Step 2: Convert to fraction form
    13,887/19,166.22 = 8,301.24/x
  3. Step 3: Cross multiply
    13,887x = 19,166.22 × 8,301.24
  4. Step 4: Simplify right side
    13,887x = 159,103,392.11
  5. Step 5: Solve for x
    x = 159,103,392.11/13,887
  6. Step 6: Final answer
    x = 11,457.00

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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.