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Finding the Fourth Proportional to 14,849.10, 20,495.09 and 9,259.02

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Solution

The fourth proportional to 14,849.10, 20,495.09 and 9,259.02 is: 12,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849.10 : 20,495.09 = 9,259.02 : x
  2. Step 2: Convert to fraction form
    14,849.10/20,495.09 = 9,259.02/x
  3. Step 3: Cross multiply
    14,849.10x = 20,495.09 × 9,259.02
  4. Step 4: Simplify right side
    14,849.10x = 189,764,448.21
  5. Step 5: Solve for x
    x = 189,764,448.21/14,849.10
  6. Step 6: Final answer
    x = 12,779.53

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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.