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Finding the Fourth Proportional to 7,208.34, 9,948.47 and 4,225.36

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Solution

The fourth proportional to 7,208.34, 9,948.47 and 4,225.36 is: 5,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.34 : 9,948.47 = 4,225.36 : x
  2. Step 2: Convert to fraction form
    7,208.34/9,948.47 = 4,225.36/x
  3. Step 3: Cross multiply
    7,208.34x = 9,948.47 × 4,225.36
  4. Step 4: Simplify right side
    7,208.34x = 42,035,796.33
  5. Step 5: Solve for x
    x = 42,035,796.33/7,208.34
  6. Step 6: Final answer
    x = 5,831.55

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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.