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Finding the Fourth Proportional to 7,714.56, 10,638.14 and 6,599.19

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Solution

The fourth proportional to 7,714.56, 10,638.14 and 6,599.19 is: 9,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.56 : 10,638.14 = 6,599.19 : x
  2. Step 2: Convert to fraction form
    7,714.56/10,638.14 = 6,599.19/x
  3. Step 3: Cross multiply
    7,714.56x = 10,638.14 × 6,599.19
  4. Step 4: Simplify right side
    7,714.56x = 70,203,114.00
  5. Step 5: Solve for x
    x = 70,203,114.00/7,714.56
  6. Step 6: Final answer
    x = 9,100.08

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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.