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Finding the Fourth Proportional to 9,995.64, 13,852.31 and 9,854.70

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Solution

The fourth proportional to 9,995.64, 13,852.31 and 9,854.70 is: 13,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.64 : 13,852.31 = 9,854.70 : x
  2. Step 2: Convert to fraction form
    9,995.64/13,852.31 = 9,854.70/x
  3. Step 3: Cross multiply
    9,995.64x = 13,852.31 × 9,854.70
  4. Step 4: Simplify right side
    9,995.64x = 136,510,359.36
  5. Step 5: Solve for x
    x = 136,510,359.36/9,995.64
  6. Step 6: Final answer
    x = 13,656.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.