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Finding the Fourth Proportional to 4,677.60, 7,019.10 and 1,756.20

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Solution

The fourth proportional to 4,677.60, 7,019.10 and 1,756.20 is: 2,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.60 : 7,019.10 = 1,756.20 : x
  2. Step 2: Convert to fraction form
    4,677.60/7,019.10 = 1,756.20/x
  3. Step 3: Cross multiply
    4,677.60x = 7,019.10 × 1,756.20
  4. Step 4: Simplify right side
    4,677.60x = 12,326,943.42
  5. Step 5: Solve for x
    x = 12,326,943.42/4,677.60
  6. Step 6: Final answer
    x = 2,635.31

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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.