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Finding the Fourth Proportional to 10,303.76, 15,416.76 and 5,923.28

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Solution

The fourth proportional to 10,303.76, 15,416.76 and 5,923.28 is: 8,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.76 : 15,416.76 = 5,923.28 : x
  2. Step 2: Convert to fraction form
    10,303.76/15,416.76 = 5,923.28/x
  3. Step 3: Cross multiply
    10,303.76x = 15,416.76 × 5,923.28
  4. Step 4: Simplify right side
    10,303.76x = 91,317,786.17
  5. Step 5: Solve for x
    x = 91,317,786.17/10,303.76
  6. Step 6: Final answer
    x = 8,862.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.