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Finding the Fourth Proportional to 14,071.84, 19,419.44 and 7,784.48

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Solution

The fourth proportional to 14,071.84, 19,419.44 and 7,784.48 is: 10,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.84 : 19,419.44 = 7,784.48 : x
  2. Step 2: Convert to fraction form
    14,071.84/19,419.44 = 7,784.48/x
  3. Step 3: Cross multiply
    14,071.84x = 19,419.44 × 7,784.48
  4. Step 4: Simplify right side
    14,071.84x = 151,170,242.29
  5. Step 5: Solve for x
    x = 151,170,242.29/14,071.84
  6. Step 6: Final answer
    x = 10,742.75

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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.