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Finding the Fourth Proportional to 9,827.84, 13,563.06 and 7,445.04

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Solution

The fourth proportional to 9,827.84, 13,563.06 and 7,445.04 is: 10,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.84 : 13,563.06 = 7,445.04 : x
  2. Step 2: Convert to fraction form
    9,827.84/13,563.06 = 7,445.04/x
  3. Step 3: Cross multiply
    9,827.84x = 13,563.06 × 7,445.04
  4. Step 4: Simplify right side
    9,827.84x = 100,977,524.22
  5. Step 5: Solve for x
    x = 100,977,524.22/9,827.84
  6. Step 6: Final answer
    x = 10,274.64

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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.