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Finding the Fourth Proportional to 14,972.59, 22,421.97 and 9,412.14

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Solution

The fourth proportional to 14,972.59, 22,421.97 and 9,412.14 is: 14,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.59 : 22,421.97 = 9,412.14 : x
  2. Step 2: Convert to fraction form
    14,972.59/22,421.97 = 9,412.14/x
  3. Step 3: Cross multiply
    14,972.59x = 22,421.97 × 9,412.14
  4. Step 4: Simplify right side
    14,972.59x = 211,038,705.15
  5. Step 5: Solve for x
    x = 211,038,705.15/14,972.59
  6. Step 6: Final answer
    x = 14,095.01

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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.