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Finding the Fourth Proportional to 10,782.95, 14,880.07 and 6,003.09

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Solution

The fourth proportional to 10,782.95, 14,880.07 and 6,003.09 is: 8,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.95 : 14,880.07 = 6,003.09 : x
  2. Step 2: Convert to fraction form
    10,782.95/14,880.07 = 6,003.09/x
  3. Step 3: Cross multiply
    10,782.95x = 14,880.07 × 6,003.09
  4. Step 4: Simplify right side
    10,782.95x = 89,326,339.74
  5. Step 5: Solve for x
    x = 89,326,339.74/10,782.95
  6. Step 6: Final answer
    x = 8,284.03

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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.