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Finding the Fourth Proportional to 14,080.42, 19,427.71 and 8,417

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Solution

The fourth proportional to 14,080.42, 19,427.71 and 8,417 is: 11,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.42 : 19,427.71 = 8,417 : x
  2. Step 2: Convert to fraction form
    14,080.42/19,427.71 = 8,417/x
  3. Step 3: Cross multiply
    14,080.42x = 19,427.71 × 8,417
  4. Step 4: Simplify right side
    14,080.42x = 163,522,992.99
  5. Step 5: Solve for x
    x = 163,522,992.99/14,080.42
  6. Step 6: Final answer
    x = 11,613.50

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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.