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Finding the Fourth Proportional to 7,002.40, 9,790.40 and 7,002.40

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Solution

The fourth proportional to 7,002.40, 9,790.40 and 7,002.40 is: 9,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.40 : 9,790.40 = 7,002.40 : x
  2. Step 2: Convert to fraction form
    7,002.40/9,790.40 = 7,002.40/x
  3. Step 3: Cross multiply
    7,002.40x = 9,790.40 × 7,002.40
  4. Step 4: Simplify right side
    7,002.40x = 68,556,296.96
  5. Step 5: Solve for x
    x = 68,556,296.96/7,002.40
  6. Step 6: Final answer
    x = 9,790.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.