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Finding the Fourth Proportional to 14,025, 19,354.56 and 7,737.84

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Solution

The fourth proportional to 14,025, 19,354.56 and 7,737.84 is: 10,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025 : 19,354.56 = 7,737.84 : x
  2. Step 2: Convert to fraction form
    14,025/19,354.56 = 7,737.84/x
  3. Step 3: Cross multiply
    14,025x = 19,354.56 × 7,737.84
  4. Step 4: Simplify right side
    14,025x = 149,762,488.55
  5. Step 5: Solve for x
    x = 149,762,488.55/14,025
  6. Step 6: Final answer
    x = 10,678.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.