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Finding the Fourth Proportional to 9,783.20, 13,722.40 and 9,783.20

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Solution

The fourth proportional to 9,783.20, 13,722.40 and 9,783.20 is: 13,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.20 : 13,722.40 = 9,783.20 : x
  2. Step 2: Convert to fraction form
    9,783.20/13,722.40 = 9,783.20/x
  3. Step 3: Cross multiply
    9,783.20x = 13,722.40 × 9,783.20
  4. Step 4: Simplify right side
    9,783.20x = 134,248,983.68
  5. Step 5: Solve for x
    x = 134,248,983.68/9,783.20
  6. Step 6: Final answer
    x = 13,722.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.