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Finding the Fourth Proportional to 7,567.86, 11,355.02 and 6,923.10

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Solution

The fourth proportional to 7,567.86, 11,355.02 and 6,923.10 is: 10,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.86 : 11,355.02 = 6,923.10 : x
  2. Step 2: Convert to fraction form
    7,567.86/11,355.02 = 6,923.10/x
  3. Step 3: Cross multiply
    7,567.86x = 11,355.02 × 6,923.10
  4. Step 4: Simplify right side
    7,567.86x = 78,611,938.96
  5. Step 5: Solve for x
    x = 78,611,938.96/7,567.86
  6. Step 6: Final answer
    x = 10,387.60

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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.