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Finding the Fourth Proportional to 30,597.64, 45,896.46 and 9,835.72

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Solution

The fourth proportional to 30,597.64, 45,896.46 and 9,835.72 is: 14,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.64 : 45,896.46 = 9,835.72 : x
  2. Step 2: Convert to fraction form
    30,597.64/45,896.46 = 9,835.72/x
  3. Step 3: Cross multiply
    30,597.64x = 45,896.46 × 9,835.72
  4. Step 4: Simplify right side
    30,597.64x = 451,424,729.55
  5. Step 5: Solve for x
    x = 451,424,729.55/30,597.64
  6. Step 6: Final answer
    x = 14,753.58

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Similar ratio
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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.