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Finding the Fourth Proportional to 9,043.32, 12,492.36 and 6,822.30

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Solution

The fourth proportional to 9,043.32, 12,492.36 and 6,822.30 is: 9,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.32 : 12,492.36 = 6,822.30 : x
  2. Step 2: Convert to fraction form
    9,043.32/12,492.36 = 6,822.30/x
  3. Step 3: Cross multiply
    9,043.32x = 12,492.36 × 6,822.30
  4. Step 4: Simplify right side
    9,043.32x = 85,226,627.63
  5. Step 5: Solve for x
    x = 85,226,627.63/9,043.32
  6. Step 6: Final answer
    x = 9,424.26

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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.