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Finding the Fourth Proportional to 15,782.58, 21,780.42 and 8,709.46

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Solution

The fourth proportional to 15,782.58, 21,780.42 and 8,709.46 is: 12,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.58 : 21,780.42 = 8,709.46 : x
  2. Step 2: Convert to fraction form
    15,782.58/21,780.42 = 8,709.46/x
  3. Step 3: Cross multiply
    15,782.58x = 21,780.42 × 8,709.46
  4. Step 4: Simplify right side
    15,782.58x = 189,695,696.77
  5. Step 5: Solve for x
    x = 189,695,696.77/15,782.58
  6. Step 6: Final answer
    x = 12,019.31

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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.