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Finding the Fourth Proportional to 14,398.68, 21,598.20 and 5,164.68

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Solution

The fourth proportional to 14,398.68, 21,598.20 and 5,164.68 is: 7,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.68 : 21,598.20 = 5,164.68 : x
  2. Step 2: Convert to fraction form
    14,398.68/21,598.20 = 5,164.68/x
  3. Step 3: Cross multiply
    14,398.68x = 21,598.20 × 5,164.68
  4. Step 4: Simplify right side
    14,398.68x = 111,547,791.58
  5. Step 5: Solve for x
    x = 111,547,791.58/14,398.68
  6. Step 6: Final answer
    x = 7,747.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.