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Finding the Fourth Proportional to 7,597.44, 10,490.40 and 5,826.24

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Solution

The fourth proportional to 7,597.44, 10,490.40 and 5,826.24 is: 8,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.44 : 10,490.40 = 5,826.24 : x
  2. Step 2: Convert to fraction form
    7,597.44/10,490.40 = 5,826.24/x
  3. Step 3: Cross multiply
    7,597.44x = 10,490.40 × 5,826.24
  4. Step 4: Simplify right side
    7,597.44x = 61,119,588.10
  5. Step 5: Solve for x
    x = 61,119,588.10/7,597.44
  6. Step 6: Final answer
    x = 8,044.76

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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.