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Finding the Fourth Proportional to 7,714.55, 10,646.08 and 4,177.76

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Solution

The fourth proportional to 7,714.55, 10,646.08 and 4,177.76 is: 5,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.55 : 10,646.08 = 4,177.76 : x
  2. Step 2: Convert to fraction form
    7,714.55/10,646.08 = 4,177.76/x
  3. Step 3: Cross multiply
    7,714.55x = 10,646.08 × 4,177.76
  4. Step 4: Simplify right side
    7,714.55x = 44,476,703.51
  5. Step 5: Solve for x
    x = 44,476,703.51/7,714.55
  6. Step 6: Final answer
    x = 5,765.30

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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.