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Finding the Fourth Proportional to 9,744.40, 14,645.40 and 8,477.20

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Solution

The fourth proportional to 9,744.40, 14,645.40 and 8,477.20 is: 12,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.40 : 14,645.40 = 8,477.20 : x
  2. Step 2: Convert to fraction form
    9,744.40/14,645.40 = 8,477.20/x
  3. Step 3: Cross multiply
    9,744.40x = 14,645.40 × 8,477.20
  4. Step 4: Simplify right side
    9,744.40x = 124,151,984.88
  5. Step 5: Solve for x
    x = 124,151,984.88/9,744.40
  6. Step 6: Final answer
    x = 12,740.85

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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.