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Finding the Fourth Proportional to 10,005.70, 14,986.95 and 8,277.70

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Solution

The fourth proportional to 10,005.70, 14,986.95 and 8,277.70 is: 12,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.70 : 14,986.95 = 8,277.70 : x
  2. Step 2: Convert to fraction form
    10,005.70/14,986.95 = 8,277.70/x
  3. Step 3: Cross multiply
    10,005.70x = 14,986.95 × 8,277.70
  4. Step 4: Simplify right side
    10,005.70x = 124,057,476.02
  5. Step 5: Solve for x
    x = 124,057,476.02/10,005.70
  6. Step 6: Final answer
    x = 12,398.68

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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.