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Finding the Fourth Proportional to 10,029.80, 14,015.80 and 10,029.80

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Solution

The fourth proportional to 10,029.80, 14,015.80 and 10,029.80 is: 14,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.80 : 14,015.80 = 10,029.80 : x
  2. Step 2: Convert to fraction form
    10,029.80/14,015.80 = 10,029.80/x
  3. Step 3: Cross multiply
    10,029.80x = 14,015.80 × 10,029.80
  4. Step 4: Simplify right side
    10,029.80x = 140,575,670.84
  5. Step 5: Solve for x
    x = 140,575,670.84/10,029.80
  6. Step 6: Final answer
    x = 14,015.80

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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.