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Finding the Fourth Proportional to 9,302.51, 12,831.78 and 5,523.11

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Solution

The fourth proportional to 9,302.51, 12,831.78 and 5,523.11 is: 7,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.51 : 12,831.78 = 5,523.11 : x
  2. Step 2: Convert to fraction form
    9,302.51/12,831.78 = 5,523.11/x
  3. Step 3: Cross multiply
    9,302.51x = 12,831.78 × 5,523.11
  4. Step 4: Simplify right side
    9,302.51x = 70,871,332.44
  5. Step 5: Solve for x
    x = 70,871,332.44/9,302.51
  6. Step 6: Final answer
    x = 7,618.52

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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.