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Finding the Fourth Proportional to 14,521.17, 21,777 and 4,658.10

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Solution

The fourth proportional to 14,521.17, 21,777 and 4,658.10 is: 6,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.17 : 21,777 = 4,658.10 : x
  2. Step 2: Convert to fraction form
    14,521.17/21,777 = 4,658.10/x
  3. Step 3: Cross multiply
    14,521.17x = 21,777 × 4,658.10
  4. Step 4: Simplify right side
    14,521.17x = 101,439,443.70
  5. Step 5: Solve for x
    x = 101,439,443.70/14,521.17
  6. Step 6: Final answer
    x = 6,985.62

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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.