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Finding the Fourth Proportional to 10,029.04, 13,840.04 and 5,613.04

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Solution

The fourth proportional to 10,029.04, 13,840.04 and 5,613.04 is: 7,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.04 : 13,840.04 = 5,613.04 : x
  2. Step 2: Convert to fraction form
    10,029.04/13,840.04 = 5,613.04/x
  3. Step 3: Cross multiply
    10,029.04x = 13,840.04 × 5,613.04
  4. Step 4: Simplify right side
    10,029.04x = 77,684,698.12
  5. Step 5: Solve for x
    x = 77,684,698.12/10,029.04
  6. Step 6: Final answer
    x = 7,745.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.