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Finding the Fourth Proportional to 14,601.60, 21,902.40 and 4,741.20

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Solution

The fourth proportional to 14,601.60, 21,902.40 and 4,741.20 is: 7,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.60 : 21,902.40 = 4,741.20 : x
  2. Step 2: Convert to fraction form
    14,601.60/21,902.40 = 4,741.20/x
  3. Step 3: Cross multiply
    14,601.60x = 21,902.40 × 4,741.20
  4. Step 4: Simplify right side
    14,601.60x = 103,843,658.88
  5. Step 5: Solve for x
    x = 103,843,658.88/14,601.60
  6. Step 6: Final answer
    x = 7,111.80

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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.