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Finding the Fourth Proportional to 14,065.78, 19,412.74 and 8,097.30

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Solution

The fourth proportional to 14,065.78, 19,412.74 and 8,097.30 is: 11,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.78 : 19,412.74 = 8,097.30 : x
  2. Step 2: Convert to fraction form
    14,065.78/19,412.74 = 8,097.30/x
  3. Step 3: Cross multiply
    14,065.78x = 19,412.74 × 8,097.30
  4. Step 4: Simplify right side
    14,065.78x = 157,190,779.60
  5. Step 5: Solve for x
    x = 157,190,779.60/14,065.78
  6. Step 6: Final answer
    x = 11,175.40

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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.