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Finding the Fourth Proportional to 10,656.90, 14,707.92 and 7,682.58

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Solution

The fourth proportional to 10,656.90, 14,707.92 and 7,682.58 is: 10,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.90 : 14,707.92 = 7,682.58 : x
  2. Step 2: Convert to fraction form
    10,656.90/14,707.92 = 7,682.58/x
  3. Step 3: Cross multiply
    10,656.90x = 14,707.92 × 7,682.58
  4. Step 4: Simplify right side
    10,656.90x = 112,994,772.03
  5. Step 5: Solve for x
    x = 112,994,772.03/10,656.90
  6. Step 6: Final answer
    x = 10,602.97

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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.