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Finding the Fourth Proportional to 9,783.36, 14,637.60 and 8,326.08

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Solution

The fourth proportional to 9,783.36, 14,637.60 and 8,326.08 is: 12,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.36 : 14,637.60 = 8,326.08 : x
  2. Step 2: Convert to fraction form
    9,783.36/14,637.60 = 8,326.08/x
  3. Step 3: Cross multiply
    9,783.36x = 14,637.60 × 8,326.08
  4. Step 4: Simplify right side
    9,783.36x = 121,873,828.61
  5. Step 5: Solve for x
    x = 121,873,828.61/9,783.36
  6. Step 6: Final answer
    x = 12,457.26

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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.