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Finding the Fourth Proportional to 12,597.60, 18,904.95 and 5,202.03

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Solution

The fourth proportional to 12,597.60, 18,904.95 and 5,202.03 is: 7,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.60 : 18,904.95 = 5,202.03 : x
  2. Step 2: Convert to fraction form
    12,597.60/18,904.95 = 5,202.03/x
  3. Step 3: Cross multiply
    12,597.60x = 18,904.95 × 5,202.03
  4. Step 4: Simplify right side
    12,597.60x = 98,344,117.05
  5. Step 5: Solve for x
    x = 98,344,117.05/12,597.60
  6. Step 6: Final answer
    x = 7,806.58

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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.