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Finding the Fourth Proportional to 12,263.58, 16,923.58 and 7,228.01

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Solution

The fourth proportional to 12,263.58, 16,923.58 and 7,228.01 is: 9,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.58 : 16,923.58 = 7,228.01 : x
  2. Step 2: Convert to fraction form
    12,263.58/16,923.58 = 7,228.01/x
  3. Step 3: Cross multiply
    12,263.58x = 16,923.58 × 7,228.01
  4. Step 4: Simplify right side
    12,263.58x = 122,323,829.71
  5. Step 5: Solve for x
    x = 122,323,829.71/12,263.58
  6. Step 6: Final answer
    x = 9,974.56

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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.