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Finding the Fourth Proportional to 9,438, 14,160.60 and 4,507.44

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Solution

The fourth proportional to 9,438, 14,160.60 and 4,507.44 is: 6,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 14,160.60 = 4,507.44 : x
  2. Step 2: Convert to fraction form
    9,438/14,160.60 = 4,507.44/x
  3. Step 3: Cross multiply
    9,438x = 14,160.60 × 4,507.44
  4. Step 4: Simplify right side
    9,438x = 63,828,054.86
  5. Step 5: Solve for x
    x = 63,828,054.86/9,438
  6. Step 6: Final answer
    x = 6,762.88

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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.