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Finding the Fourth Proportional to 14,665, 22,001.14 and 4,276.76

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Solution

The fourth proportional to 14,665, 22,001.14 and 4,276.76 is: 6,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665 : 22,001.14 = 4,276.76 : x
  2. Step 2: Convert to fraction form
    14,665/22,001.14 = 4,276.76/x
  3. Step 3: Cross multiply
    14,665x = 22,001.14 × 4,276.76
  4. Step 4: Simplify right side
    14,665x = 94,093,595.51
  5. Step 5: Solve for x
    x = 94,093,595.51/14,665
  6. Step 6: Final answer
    x = 6,416.20

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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.