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Finding the Fourth Proportional to 7,597.54, 10,489.36 and 5,825.74

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Solution

The fourth proportional to 7,597.54, 10,489.36 and 5,825.74 is: 8,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.54 : 10,489.36 = 5,825.74 : x
  2. Step 2: Convert to fraction form
    7,597.54/10,489.36 = 5,825.74/x
  3. Step 3: Cross multiply
    7,597.54x = 10,489.36 × 5,825.74
  4. Step 4: Simplify right side
    7,597.54x = 61,108,284.13
  5. Step 5: Solve for x
    x = 61,108,284.13/7,597.54
  6. Step 6: Final answer
    x = 8,043.17

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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.