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Finding the Fourth Proportional to 6,531.93, 9,014.12 and 3,547.82

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Solution

The fourth proportional to 6,531.93, 9,014.12 and 3,547.82 is: 4,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.93 : 9,014.12 = 3,547.82 : x
  2. Step 2: Convert to fraction form
    6,531.93/9,014.12 = 3,547.82/x
  3. Step 3: Cross multiply
    6,531.93x = 9,014.12 × 3,547.82
  4. Step 4: Simplify right side
    6,531.93x = 31,980,506.62
  5. Step 5: Solve for x
    x = 31,980,506.62/6,531.93
  6. Step 6: Final answer
    x = 4,896.03

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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.