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Finding the Fourth Proportional to 10,506.42, 15,759.63 and 2,714.63

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Solution

The fourth proportional to 10,506.42, 15,759.63 and 2,714.63 is: 4,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.42 : 15,759.63 = 2,714.63 : x
  2. Step 2: Convert to fraction form
    10,506.42/15,759.63 = 2,714.63/x
  3. Step 3: Cross multiply
    10,506.42x = 15,759.63 × 2,714.63
  4. Step 4: Simplify right side
    10,506.42x = 42,781,485.59
  5. Step 5: Solve for x
    x = 42,781,485.59/10,506.42
  6. Step 6: Final answer
    x = 4,071.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.