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Finding the Fourth Proportional to 12,309.08, 16,988.48 and 7,828.16

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Solution

The fourth proportional to 12,309.08, 16,988.48 and 7,828.16 is: 10,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.08 : 16,988.48 = 7,828.16 : x
  2. Step 2: Convert to fraction form
    12,309.08/16,988.48 = 7,828.16/x
  3. Step 3: Cross multiply
    12,309.08x = 16,988.48 × 7,828.16
  4. Step 4: Simplify right side
    12,309.08x = 132,988,539.60
  5. Step 5: Solve for x
    x = 132,988,539.60/12,309.08
  6. Step 6: Final answer
    x = 10,804.10

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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.