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Finding the Fourth Proportional to 15,682.66, 21,646.21 and 9,710.93

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Solution

The fourth proportional to 15,682.66, 21,646.21 and 9,710.93 is: 13,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.66 : 21,646.21 = 9,710.93 : x
  2. Step 2: Convert to fraction form
    15,682.66/21,646.21 = 9,710.93/x
  3. Step 3: Cross multiply
    15,682.66x = 21,646.21 × 9,710.93
  4. Step 4: Simplify right side
    15,682.66x = 210,204,854.35
  5. Step 5: Solve for x
    x = 210,204,854.35/15,682.66
  6. Step 6: Final answer
    x = 13,403.65

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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.