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Finding the Fourth Proportional to 10,012.70, 14,000.50 and 10,012.70

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Solution

The fourth proportional to 10,012.70, 14,000.50 and 10,012.70 is: 14,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.70 : 14,000.50 = 10,012.70 : x
  2. Step 2: Convert to fraction form
    10,012.70/14,000.50 = 10,012.70/x
  3. Step 3: Cross multiply
    10,012.70x = 14,000.50 × 10,012.70
  4. Step 4: Simplify right side
    10,012.70x = 140,182,806.35
  5. Step 5: Solve for x
    x = 140,182,806.35/10,012.70
  6. Step 6: Final answer
    x = 14,000.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.