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Finding the Fourth Proportional to 6,570.53, 9,807.83 and 5,699.18

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Solution

The fourth proportional to 6,570.53, 9,807.83 and 5,699.18 is: 8,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.53 : 9,807.83 = 5,699.18 : x
  2. Step 2: Convert to fraction form
    6,570.53/9,807.83 = 5,699.18/x
  3. Step 3: Cross multiply
    6,570.53x = 9,807.83 × 5,699.18
  4. Step 4: Simplify right side
    6,570.53x = 55,896,511.04
  5. Step 5: Solve for x
    x = 55,896,511.04/6,570.53
  6. Step 6: Final answer
    x = 8,507.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.