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Finding the Fourth Proportional to 10,656.16, 14,696.64 and 7,998.95

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Solution

The fourth proportional to 10,656.16, 14,696.64 and 7,998.95 is: 11,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.16 : 14,696.64 = 7,998.95 : x
  2. Step 2: Convert to fraction form
    10,656.16/14,696.64 = 7,998.95/x
  3. Step 3: Cross multiply
    10,656.16x = 14,696.64 × 7,998.95
  4. Step 4: Simplify right side
    10,656.16x = 117,557,725.27
  5. Step 5: Solve for x
    x = 117,557,725.27/10,656.16
  6. Step 6: Final answer
    x = 11,031.91

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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.