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Finding the Fourth Proportional to 4,903.68, 7,355.28 and 1,942.32

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Solution

The fourth proportional to 4,903.68, 7,355.28 and 1,942.32 is: 2,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.68 : 7,355.28 = 1,942.32 : x
  2. Step 2: Convert to fraction form
    4,903.68/7,355.28 = 1,942.32/x
  3. Step 3: Cross multiply
    4,903.68x = 7,355.28 × 1,942.32
  4. Step 4: Simplify right side
    4,903.68x = 14,286,307.45
  5. Step 5: Solve for x
    x = 14,286,307.45/4,903.68
  6. Step 6: Final answer
    x = 2,913.38

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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.