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Finding the Fourth Proportional to 7,852.06, 10,831.03 and 4,663.20

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Solution

The fourth proportional to 7,852.06, 10,831.03 and 4,663.20 is: 6,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.06 : 10,831.03 = 4,663.20 : x
  2. Step 2: Convert to fraction form
    7,852.06/10,831.03 = 4,663.20/x
  3. Step 3: Cross multiply
    7,852.06x = 10,831.03 × 4,663.20
  4. Step 4: Simplify right side
    7,852.06x = 50,507,259.10
  5. Step 5: Solve for x
    x = 50,507,259.10/7,852.06
  6. Step 6: Final answer
    x = 6,432.36

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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.