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Finding the Fourth Proportional to 13,094.91, 18,071.94 and 7,430.63

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Solution

The fourth proportional to 13,094.91, 18,071.94 and 7,430.63 is: 10,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.91 : 18,071.94 = 7,430.63 : x
  2. Step 2: Convert to fraction form
    13,094.91/18,071.94 = 7,430.63/x
  3. Step 3: Cross multiply
    13,094.91x = 18,071.94 × 7,430.63
  4. Step 4: Simplify right side
    13,094.91x = 134,285,899.52
  5. Step 5: Solve for x
    x = 134,285,899.52/13,094.91
  6. Step 6: Final answer
    x = 10,254.82

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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.