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Finding the Fourth Proportional to 5,103.40, 7,655.10 and 4,277.20

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Solution

The fourth proportional to 5,103.40, 7,655.10 and 4,277.20 is: 6,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.40 : 7,655.10 = 4,277.20 : x
  2. Step 2: Convert to fraction form
    5,103.40/7,655.10 = 4,277.20/x
  3. Step 3: Cross multiply
    5,103.40x = 7,655.10 × 4,277.20
  4. Step 4: Simplify right side
    5,103.40x = 32,742,393.72
  5. Step 5: Solve for x
    x = 32,742,393.72/5,103.40
  6. Step 6: Final answer
    x = 6,415.80

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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.