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Finding the Fourth Proportional to 10,077.30, 14,122.80 and 10,077.30

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Solution

The fourth proportional to 10,077.30, 14,122.80 and 10,077.30 is: 14,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.30 : 14,122.80 = 10,077.30 : x
  2. Step 2: Convert to fraction form
    10,077.30/14,122.80 = 10,077.30/x
  3. Step 3: Cross multiply
    10,077.30x = 14,122.80 × 10,077.30
  4. Step 4: Simplify right side
    10,077.30x = 142,319,692.44
  5. Step 5: Solve for x
    x = 142,319,692.44/10,077.30
  6. Step 6: Final answer
    x = 14,122.80

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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.