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Finding the Fourth Proportional to 7,000.46, 10,498.46 and 2,319.40

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Solution

The fourth proportional to 7,000.46, 10,498.46 and 2,319.40 is: 3,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.46 : 10,498.46 = 2,319.40 : x
  2. Step 2: Convert to fraction form
    7,000.46/10,498.46 = 2,319.40/x
  3. Step 3: Cross multiply
    7,000.46x = 10,498.46 × 2,319.40
  4. Step 4: Simplify right side
    7,000.46x = 24,350,128.12
  5. Step 5: Solve for x
    x = 24,350,128.12/7,000.46
  6. Step 6: Final answer
    x = 3,478.36

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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.