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Finding the Fourth Proportional to 7,283.47, 10,056 and 6,496.15

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Solution

The fourth proportional to 7,283.47, 10,056 and 6,496.15 is: 8,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.47 : 10,056 = 6,496.15 : x
  2. Step 2: Convert to fraction form
    7,283.47/10,056 = 6,496.15/x
  3. Step 3: Cross multiply
    7,283.47x = 10,056 × 6,496.15
  4. Step 4: Simplify right side
    7,283.47x = 65,325,284.40
  5. Step 5: Solve for x
    x = 65,325,284.40/7,283.47
  6. Step 6: Final answer
    x = 8,968.98

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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.