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Finding the Fourth Proportional to 10,745.64, 14,835.48 and 7,026.12

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Solution

The fourth proportional to 10,745.64, 14,835.48 and 7,026.12 is: 9,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.64 : 14,835.48 = 7,026.12 : x
  2. Step 2: Convert to fraction form
    10,745.64/14,835.48 = 7,026.12/x
  3. Step 3: Cross multiply
    10,745.64x = 14,835.48 × 7,026.12
  4. Step 4: Simplify right side
    10,745.64x = 104,235,862.74
  5. Step 5: Solve for x
    x = 104,235,862.74/10,745.64
  6. Step 6: Final answer
    x = 9,700.29

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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.