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Finding the Fourth Proportional to 9,292.16, 12,823.08 and 5,043.23

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Solution

The fourth proportional to 9,292.16, 12,823.08 and 5,043.23 is: 6,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.16 : 12,823.08 = 5,043.23 : x
  2. Step 2: Convert to fraction form
    9,292.16/12,823.08 = 5,043.23/x
  3. Step 3: Cross multiply
    9,292.16x = 12,823.08 × 5,043.23
  4. Step 4: Simplify right side
    9,292.16x = 64,669,764.35
  5. Step 5: Solve for x
    x = 64,669,764.35/9,292.16
  6. Step 6: Final answer
    x = 6,959.60

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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.