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Finding the Fourth Proportional to 7,041.20, 9,699.94 and 5,922.16

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Solution

The fourth proportional to 7,041.20, 9,699.94 and 5,922.16 is: 8,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.20 : 9,699.94 = 5,922.16 : x
  2. Step 2: Convert to fraction form
    7,041.20/9,699.94 = 5,922.16/x
  3. Step 3: Cross multiply
    7,041.20x = 9,699.94 × 5,922.16
  4. Step 4: Simplify right side
    7,041.20x = 57,444,596.67
  5. Step 5: Solve for x
    x = 57,444,596.67/7,041.20
  6. Step 6: Final answer
    x = 8,158.35

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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.