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Finding the Fourth Proportional to 9,440.37, 14,170.37 and 9,228.58

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Solution

The fourth proportional to 9,440.37, 14,170.37 and 9,228.58 is: 13,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440.37 : 14,170.37 = 9,228.58 : x
  2. Step 2: Convert to fraction form
    9,440.37/14,170.37 = 9,228.58/x
  3. Step 3: Cross multiply
    9,440.37x = 14,170.37 × 9,228.58
  4. Step 4: Simplify right side
    9,440.37x = 130,772,311.61
  5. Step 5: Solve for x
    x = 130,772,311.61/9,440.37
  6. Step 6: Final answer
    x = 13,852.46

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.