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Finding the Fourth Proportional to 7,073.50, 9,762.01 and 4,560.84

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Solution

The fourth proportional to 7,073.50, 9,762.01 and 4,560.84 is: 6,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.50 : 9,762.01 = 4,560.84 : x
  2. Step 2: Convert to fraction form
    7,073.50/9,762.01 = 4,560.84/x
  3. Step 3: Cross multiply
    7,073.50x = 9,762.01 × 4,560.84
  4. Step 4: Simplify right side
    7,073.50x = 44,522,989.69
  5. Step 5: Solve for x
    x = 44,522,989.69/7,073.50
  6. Step 6: Final answer
    x = 6,294.34

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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.