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Finding the Fourth Proportional to 9,956.99, 13,735.49 and 8,070.71

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Solution

The fourth proportional to 9,956.99, 13,735.49 and 8,070.71 is: 11,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.99 : 13,735.49 = 8,070.71 : x
  2. Step 2: Convert to fraction form
    9,956.99/13,735.49 = 8,070.71/x
  3. Step 3: Cross multiply
    9,956.99x = 13,735.49 × 8,070.71
  4. Step 4: Simplify right side
    9,956.99x = 110,855,047.47
  5. Step 5: Solve for x
    x = 110,855,047.47/9,956.99
  6. Step 6: Final answer
    x = 11,133.39

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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.