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Finding the Fourth Proportional to 7,028.98, 9,692.08 and 4,792.16

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Solution

The fourth proportional to 7,028.98, 9,692.08 and 4,792.16 is: 6,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.98 : 9,692.08 = 4,792.16 : x
  2. Step 2: Convert to fraction form
    7,028.98/9,692.08 = 4,792.16/x
  3. Step 3: Cross multiply
    7,028.98x = 9,692.08 × 4,792.16
  4. Step 4: Simplify right side
    7,028.98x = 46,445,998.09
  5. Step 5: Solve for x
    x = 46,445,998.09/7,028.98
  6. Step 6: Final answer
    x = 6,607.79

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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.