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Finding the Fourth Proportional to 23,783.04, 35,678.88 and 8,196.48

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Solution

The fourth proportional to 23,783.04, 35,678.88 and 8,196.48 is: 12,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.04 : 35,678.88 = 8,196.48 : x
  2. Step 2: Convert to fraction form
    23,783.04/35,678.88 = 8,196.48/x
  3. Step 3: Cross multiply
    23,783.04x = 35,678.88 × 8,196.48
  4. Step 4: Simplify right side
    23,783.04x = 292,441,226.34
  5. Step 5: Solve for x
    x = 292,441,226.34/23,783.04
  6. Step 6: Final answer
    x = 12,296.21

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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.