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Finding the Fourth Proportional to 13,113, 18,095.94 and 7,225

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Solution

The fourth proportional to 13,113, 18,095.94 and 7,225 is: 9,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113 : 18,095.94 = 7,225 : x
  2. Step 2: Convert to fraction form
    13,113/18,095.94 = 7,225/x
  3. Step 3: Cross multiply
    13,113x = 18,095.94 × 7,225
  4. Step 4: Simplify right side
    13,113x = 130,743,166.50
  5. Step 5: Solve for x
    x = 130,743,166.50/13,113
  6. Step 6: Final answer
    x = 9,970.50

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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.