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Finding the Fourth Proportional to 6,531.84, 8,984.52 and 5,265

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Solution

The fourth proportional to 6,531.84, 8,984.52 and 5,265 is: 7,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.84 : 8,984.52 = 5,265 : x
  2. Step 2: Convert to fraction form
    6,531.84/8,984.52 = 5,265/x
  3. Step 3: Cross multiply
    6,531.84x = 8,984.52 × 5,265
  4. Step 4: Simplify right side
    6,531.84x = 47,303,497.80
  5. Step 5: Solve for x
    x = 47,303,497.80/6,531.84
  6. Step 6: Final answer
    x = 7,241.99

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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.