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Finding the Fourth Proportional to 14,710, 22,059.56 and 4,846.40

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Solution

The fourth proportional to 14,710, 22,059.56 and 4,846.40 is: 7,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710 : 22,059.56 = 4,846.40 : x
  2. Step 2: Convert to fraction form
    14,710/22,059.56 = 4,846.40/x
  3. Step 3: Cross multiply
    14,710x = 22,059.56 × 4,846.40
  4. Step 4: Simplify right side
    14,710x = 106,909,451.58
  5. Step 5: Solve for x
    x = 106,909,451.58/14,710
  6. Step 6: Final answer
    x = 7,267.81

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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.