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Finding the Fourth Proportional to 14,274.88, 19,699.76 and 7,814.92

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Solution

The fourth proportional to 14,274.88, 19,699.76 and 7,814.92 is: 10,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.88 : 19,699.76 = 7,814.92 : x
  2. Step 2: Convert to fraction form
    14,274.88/19,699.76 = 7,814.92/x
  3. Step 3: Cross multiply
    14,274.88x = 19,699.76 × 7,814.92
  4. Step 4: Simplify right side
    14,274.88x = 153,952,048.42
  5. Step 5: Solve for x
    x = 153,952,048.42/14,274.88
  6. Step 6: Final answer
    x = 10,784.82

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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.