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Finding the Fourth Proportional to 13,297.98, 18,351 and 7,329.63

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Solution

The fourth proportional to 13,297.98, 18,351 and 7,329.63 is: 10,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.98 : 18,351 = 7,329.63 : x
  2. Step 2: Convert to fraction form
    13,297.98/18,351 = 7,329.63/x
  3. Step 3: Cross multiply
    13,297.98x = 18,351 × 7,329.63
  4. Step 4: Simplify right side
    13,297.98x = 134,506,040.13
  5. Step 5: Solve for x
    x = 134,506,040.13/13,297.98
  6. Step 6: Final answer
    x = 10,114.77

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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.