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Finding the Fourth Proportional to 7,602.44, 10,497.30 and 5,831.24

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Solution

The fourth proportional to 7,602.44, 10,497.30 and 5,831.24 is: 8,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.44 : 10,497.30 = 5,831.24 : x
  2. Step 2: Convert to fraction form
    7,602.44/10,497.30 = 5,831.24/x
  3. Step 3: Cross multiply
    7,602.44x = 10,497.30 × 5,831.24
  4. Step 4: Simplify right side
    7,602.44x = 61,212,275.65
  5. Step 5: Solve for x
    x = 61,212,275.65/7,602.44
  6. Step 6: Final answer
    x = 8,051.66

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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.