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Finding the Fourth Proportional to 13,461.09, 18,574.09 and 7,492.61

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Solution

The fourth proportional to 13,461.09, 18,574.09 and 7,492.61 is: 10,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.09 : 18,574.09 = 7,492.61 : x
  2. Step 2: Convert to fraction form
    13,461.09/18,574.09 = 7,492.61/x
  3. Step 3: Cross multiply
    13,461.09x = 18,574.09 × 7,492.61
  4. Step 4: Simplify right side
    13,461.09x = 139,168,300.87
  5. Step 5: Solve for x
    x = 139,168,300.87/13,461.09
  6. Step 6: Final answer
    x = 10,338.56

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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.