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Finding the Fourth Proportional to 9,817.84, 13,548 and 5,568.40

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Solution

The fourth proportional to 9,817.84, 13,548 and 5,568.40 is: 7,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.84 : 13,548 = 5,568.40 : x
  2. Step 2: Convert to fraction form
    9,817.84/13,548 = 5,568.40/x
  3. Step 3: Cross multiply
    9,817.84x = 13,548 × 5,568.40
  4. Step 4: Simplify right side
    9,817.84x = 75,440,683.20
  5. Step 5: Solve for x
    x = 75,440,683.20/9,817.84
  6. Step 6: Final answer
    x = 7,684.04

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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.