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Finding the Fourth Proportional to 6,570.98, 9,068.16 and 3,586.97

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Solution

The fourth proportional to 6,570.98, 9,068.16 and 3,586.97 is: 4,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.98 : 9,068.16 = 3,586.97 : x
  2. Step 2: Convert to fraction form
    6,570.98/9,068.16 = 3,586.97/x
  3. Step 3: Cross multiply
    6,570.98x = 9,068.16 × 3,586.97
  4. Step 4: Simplify right side
    6,570.98x = 32,527,172.53
  5. Step 5: Solve for x
    x = 32,527,172.53/6,570.98
  6. Step 6: Final answer
    x = 4,950.13

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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.