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Finding the Fourth Proportional to 14,726.56, 20,322.48 and 9,698.08

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Solution

The fourth proportional to 14,726.56, 20,322.48 and 9,698.08 is: 13,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,726.56 : 20,322.48 = 9,698.08 : x
  2. Step 2: Convert to fraction form
    14,726.56/20,322.48 = 9,698.08/x
  3. Step 3: Cross multiply
    14,726.56x = 20,322.48 × 9,698.08
  4. Step 4: Simplify right side
    14,726.56x = 197,089,036.84
  5. Step 5: Solve for x
    x = 197,089,036.84/14,726.56
  6. Step 6: Final answer
    x = 13,383.24

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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.