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Finding the Fourth Proportional to 12,905.20, 17,809.08 and 7,316.40

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Solution

The fourth proportional to 12,905.20, 17,809.08 and 7,316.40 is: 10,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.20 : 17,809.08 = 7,316.40 : x
  2. Step 2: Convert to fraction form
    12,905.20/17,809.08 = 7,316.40/x
  3. Step 3: Cross multiply
    12,905.20x = 17,809.08 × 7,316.40
  4. Step 4: Simplify right side
    12,905.20x = 130,298,352.91
  5. Step 5: Solve for x
    x = 130,298,352.91/12,905.20
  6. Step 6: Final answer
    x = 10,096.58

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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.