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Finding the Fourth Proportional to 13,971, 19,274.53 and 7,999.48

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Solution

The fourth proportional to 13,971, 19,274.53 and 7,999.48 is: 11,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971 : 19,274.53 = 7,999.48 : x
  2. Step 2: Convert to fraction form
    13,971/19,274.53 = 7,999.48/x
  3. Step 3: Cross multiply
    13,971x = 19,274.53 × 7,999.48
  4. Step 4: Simplify right side
    13,971x = 154,186,217.24
  5. Step 5: Solve for x
    x = 154,186,217.24/13,971
  6. Step 6: Final answer
    x = 11,036.16

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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.