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Finding the Fourth Proportional to 12,281.93, 18,409.78 and 7,005.58

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Solution

The fourth proportional to 12,281.93, 18,409.78 and 7,005.58 is: 10,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.93 : 18,409.78 = 7,005.58 : x
  2. Step 2: Convert to fraction form
    12,281.93/18,409.78 = 7,005.58/x
  3. Step 3: Cross multiply
    12,281.93x = 18,409.78 × 7,005.58
  4. Step 4: Simplify right side
    12,281.93x = 128,971,186.57
  5. Step 5: Solve for x
    x = 128,971,186.57/12,281.93
  6. Step 6: Final answer
    x = 10,500.89

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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.