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Finding the Fourth Proportional to 14,854, 22,281 and 4,465.76

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Solution

The fourth proportional to 14,854, 22,281 and 4,465.76 is: 6,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854 : 22,281 = 4,465.76 : x
  2. Step 2: Convert to fraction form
    14,854/22,281 = 4,465.76/x
  3. Step 3: Cross multiply
    14,854x = 22,281 × 4,465.76
  4. Step 4: Simplify right side
    14,854x = 99,501,598.56
  5. Step 5: Solve for x
    x = 99,501,598.56/14,854
  6. Step 6: Final answer
    x = 6,698.64

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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.