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Finding the Fourth Proportional to 12,967.21, 17,893.74 and 7,301.53

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Solution

The fourth proportional to 12,967.21, 17,893.74 and 7,301.53 is: 10,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.21 : 17,893.74 = 7,301.53 : x
  2. Step 2: Convert to fraction form
    12,967.21/17,893.74 = 7,301.53/x
  3. Step 3: Cross multiply
    12,967.21x = 17,893.74 × 7,301.53
  4. Step 4: Simplify right side
    12,967.21x = 130,651,679.42
  5. Step 5: Solve for x
    x = 130,651,679.42/12,967.21
  6. Step 6: Final answer
    x = 10,075.54

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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.