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Finding the Fourth Proportional to 15,095.34, 20,831.74 and 8,289.67

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Solution

The fourth proportional to 15,095.34, 20,831.74 and 8,289.67 is: 11,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,095.34 : 20,831.74 = 8,289.67 : x
  2. Step 2: Convert to fraction form
    15,095.34/20,831.74 = 8,289.67/x
  3. Step 3: Cross multiply
    15,095.34x = 20,831.74 × 8,289.67
  4. Step 4: Simplify right side
    15,095.34x = 172,688,216.08
  5. Step 5: Solve for x
    x = 172,688,216.08/15,095.34
  6. Step 6: Final answer
    x = 11,439.84

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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.