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Finding the Fourth Proportional to 11,478.76, 15,834.26 and 7,228.24

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Solution

The fourth proportional to 11,478.76, 15,834.26 and 7,228.24 is: 9,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.76 : 15,834.26 = 7,228.24 : x
  2. Step 2: Convert to fraction form
    11,478.76/15,834.26 = 7,228.24/x
  3. Step 3: Cross multiply
    11,478.76x = 15,834.26 × 7,228.24
  4. Step 4: Simplify right side
    11,478.76x = 114,453,831.50
  5. Step 5: Solve for x
    x = 114,453,831.50/11,478.76
  6. Step 6: Final answer
    x = 9,970.92

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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.