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Finding the Fourth Proportional to 23,532.84, 35,303.28 and 7,946.76

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Solution

The fourth proportional to 23,532.84, 35,303.28 and 7,946.76 is: 11,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.84 : 35,303.28 = 7,946.76 : x
  2. Step 2: Convert to fraction form
    23,532.84/35,303.28 = 7,946.76/x
  3. Step 3: Cross multiply
    23,532.84x = 35,303.28 × 7,946.76
  4. Step 4: Simplify right side
    23,532.84x = 280,546,693.37
  5. Step 5: Solve for x
    x = 280,546,693.37/23,532.84
  6. Step 6: Final answer
    x = 11,921.50

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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.