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Finding the Fourth Proportional to 13,309.17, 18,366.74 and 7,341

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Solution

The fourth proportional to 13,309.17, 18,366.74 and 7,341 is: 10,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.17 : 18,366.74 = 7,341 : x
  2. Step 2: Convert to fraction form
    13,309.17/18,366.74 = 7,341/x
  3. Step 3: Cross multiply
    13,309.17x = 18,366.74 × 7,341
  4. Step 4: Simplify right side
    13,309.17x = 134,830,238.34
  5. Step 5: Solve for x
    x = 134,830,238.34/13,309.17
  6. Step 6: Final answer
    x = 10,130.63

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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.