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Finding the Fourth Proportional to 12,503.53, 17,254.31 and 7,197.22

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Solution

The fourth proportional to 12,503.53, 17,254.31 and 7,197.22 is: 9,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.53 : 17,254.31 = 7,197.22 : x
  2. Step 2: Convert to fraction form
    12,503.53/17,254.31 = 7,197.22/x
  3. Step 3: Cross multiply
    12,503.53x = 17,254.31 × 7,197.22
  4. Step 4: Simplify right side
    12,503.53x = 124,183,065.02
  5. Step 5: Solve for x
    x = 124,183,065.02/12,503.53
  6. Step 6: Final answer
    x = 9,931.84

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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.