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Finding the Fourth Proportional to 14,023.84, 19,354.08 and 7,737.60

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Solution

The fourth proportional to 14,023.84, 19,354.08 and 7,737.60 is: 10,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.84 : 19,354.08 = 7,737.60 : x
  2. Step 2: Convert to fraction form
    14,023.84/19,354.08 = 7,737.60/x
  3. Step 3: Cross multiply
    14,023.84x = 19,354.08 × 7,737.60
  4. Step 4: Simplify right side
    14,023.84x = 149,754,129.41
  5. Step 5: Solve for x
    x = 149,754,129.41/14,023.84
  6. Step 6: Final answer
    x = 10,678.54

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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.