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Finding the Fourth Proportional to 7,196.76, 9,928.51 and 4,678.07

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Solution

The fourth proportional to 7,196.76, 9,928.51 and 4,678.07 is: 6,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.76 : 9,928.51 = 4,678.07 : x
  2. Step 2: Convert to fraction form
    7,196.76/9,928.51 = 4,678.07/x
  3. Step 3: Cross multiply
    7,196.76x = 9,928.51 × 4,678.07
  4. Step 4: Simplify right side
    7,196.76x = 46,446,203.44
  5. Step 5: Solve for x
    x = 46,446,203.44/7,196.76
  6. Step 6: Final answer
    x = 6,453.77

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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.