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Finding the Fourth Proportional to 12,028, 16,598.64 and 7,311.40

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Solution

The fourth proportional to 12,028, 16,598.64 and 7,311.40 is: 10,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028 : 16,598.64 = 7,311.40 : x
  2. Step 2: Convert to fraction form
    12,028/16,598.64 = 7,311.40/x
  3. Step 3: Cross multiply
    12,028x = 16,598.64 × 7,311.40
  4. Step 4: Simplify right side
    12,028x = 121,359,296.50
  5. Step 5: Solve for x
    x = 121,359,296.50/12,028
  6. Step 6: Final answer
    x = 10,089.73

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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.