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Finding the Fourth Proportional to 13,193.16, 18,207 and 7,225.17

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Solution

The fourth proportional to 13,193.16, 18,207 and 7,225.17 is: 9,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.16 : 18,207 = 7,225.17 : x
  2. Step 2: Convert to fraction form
    13,193.16/18,207 = 7,225.17/x
  3. Step 3: Cross multiply
    13,193.16x = 18,207 × 7,225.17
  4. Step 4: Simplify right side
    13,193.16x = 131,548,670.19
  5. Step 5: Solve for x
    x = 131,548,670.19/13,193.16
  6. Step 6: Final answer
    x = 9,970.98

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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.