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Finding the Fourth Proportional to 7,323.80, 10,985.70 and 4,213.40

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Solution

The fourth proportional to 7,323.80, 10,985.70 and 4,213.40 is: 6,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.80 : 10,985.70 = 4,213.40 : x
  2. Step 2: Convert to fraction form
    7,323.80/10,985.70 = 4,213.40/x
  3. Step 3: Cross multiply
    7,323.80x = 10,985.70 × 4,213.40
  4. Step 4: Simplify right side
    7,323.80x = 46,287,148.38
  5. Step 5: Solve for x
    x = 46,287,148.38/7,323.80
  6. Step 6: Final answer
    x = 6,320.10

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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.