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Finding the Fourth Proportional to 6,570.62, 9,070.80 and 5,075.18

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Solution

The fourth proportional to 6,570.62, 9,070.80 and 5,075.18 is: 7,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.62 : 9,070.80 = 5,075.18 : x
  2. Step 2: Convert to fraction form
    6,570.62/9,070.80 = 5,075.18/x
  3. Step 3: Cross multiply
    6,570.62x = 9,070.80 × 5,075.18
  4. Step 4: Simplify right side
    6,570.62x = 46,035,942.74
  5. Step 5: Solve for x
    x = 46,035,942.74/6,570.62
  6. Step 6: Final answer
    x = 7,006.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.