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Finding the Fourth Proportional to 14,695.63, 20,266.00 and 9,664.11

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Solution

The fourth proportional to 14,695.63, 20,266.00 and 9,664.11 is: 13,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,695.63 : 20,266.00 = 9,664.11 : x
  2. Step 2: Convert to fraction form
    14,695.63/20,266.00 = 9,664.11/x
  3. Step 3: Cross multiply
    14,695.63x = 20,266.00 × 9,664.11
  4. Step 4: Simplify right side
    14,695.63x = 195,852,829.10
  5. Step 5: Solve for x
    x = 195,852,829.10/14,695.63
  6. Step 6: Final answer
    x = 13,327.29

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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.