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Finding the Fourth Proportional to 14,602.96, 20,145.06 and 9,565

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Solution

The fourth proportional to 14,602.96, 20,145.06 and 9,565 is: 13,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.96 : 20,145.06 = 9,565 : x
  2. Step 2: Convert to fraction form
    14,602.96/20,145.06 = 9,565/x
  3. Step 3: Cross multiply
    14,602.96x = 20,145.06 × 9,565
  4. Step 4: Simplify right side
    14,602.96x = 192,687,498.90
  5. Step 5: Solve for x
    x = 192,687,498.90/14,602.96
  6. Step 6: Final answer
    x = 13,195.10

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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.