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Finding the Fourth Proportional to 7,065.60, 10,598.40 and 3,942.40

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Solution

The fourth proportional to 7,065.60, 10,598.40 and 3,942.40 is: 5,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.60 : 10,598.40 = 3,942.40 : x
  2. Step 2: Convert to fraction form
    7,065.60/10,598.40 = 3,942.40/x
  3. Step 3: Cross multiply
    7,065.60x = 10,598.40 × 3,942.40
  4. Step 4: Simplify right side
    7,065.60x = 41,783,132.16
  5. Step 5: Solve for x
    x = 41,783,132.16/7,065.60
  6. Step 6: Final answer
    x = 5,913.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.