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Finding the Fourth Proportional to 12,307.28, 16,984.24 and 6,718.24

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Solution

The fourth proportional to 12,307.28, 16,984.24 and 6,718.24 is: 9,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.28 : 16,984.24 = 6,718.24 : x
  2. Step 2: Convert to fraction form
    12,307.28/16,984.24 = 6,718.24/x
  3. Step 3: Cross multiply
    12,307.28x = 16,984.24 × 6,718.24
  4. Step 4: Simplify right side
    12,307.28x = 114,104,200.54
  5. Step 5: Solve for x
    x = 114,104,200.54/12,307.28
  6. Step 6: Final answer
    x = 9,271.28

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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.