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Finding the Fourth Proportional to 9,228.84, 12,746.40 and 6,722.16

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Solution

The fourth proportional to 9,228.84, 12,746.40 and 6,722.16 is: 9,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.84 : 12,746.40 = 6,722.16 : x
  2. Step 2: Convert to fraction form
    9,228.84/12,746.40 = 6,722.16/x
  3. Step 3: Cross multiply
    9,228.84x = 12,746.40 × 6,722.16
  4. Step 4: Simplify right side
    9,228.84x = 85,683,340.22
  5. Step 5: Solve for x
    x = 85,683,340.22/9,228.84
  6. Step 6: Final answer
    x = 9,284.30

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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.