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Finding the Fourth Proportional to 15,095.42, 20,831.93 and 8,381.48

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Solution

The fourth proportional to 15,095.42, 20,831.93 and 8,381.48 is: 11,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,095.42 : 20,831.93 = 8,381.48 : x
  2. Step 2: Convert to fraction form
    15,095.42/20,831.93 = 8,381.48/x
  3. Step 3: Cross multiply
    15,095.42x = 20,831.93 × 8,381.48
  4. Step 4: Simplify right side
    15,095.42x = 174,602,362.75
  5. Step 5: Solve for x
    x = 174,602,362.75/15,095.42
  6. Step 6: Final answer
    x = 11,566.58

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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.