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Finding the Fourth Proportional to 10,485.66, 14,470.16 and 6,009.48

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Solution

The fourth proportional to 10,485.66, 14,470.16 and 6,009.48 is: 8,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.66 : 14,470.16 = 6,009.48 : x
  2. Step 2: Convert to fraction form
    10,485.66/14,470.16 = 6,009.48/x
  3. Step 3: Cross multiply
    10,485.66x = 14,470.16 × 6,009.48
  4. Step 4: Simplify right side
    10,485.66x = 86,958,107.07
  5. Step 5: Solve for x
    x = 86,958,107.07/10,485.66
  6. Step 6: Final answer
    x = 8,293.05

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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.