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Finding the Fourth Proportional to 7,105.80, 10,658.70 and 4,643.40

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Solution

The fourth proportional to 7,105.80, 10,658.70 and 4,643.40 is: 6,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.80 : 10,658.70 = 4,643.40 : x
  2. Step 2: Convert to fraction form
    7,105.80/10,658.70 = 4,643.40/x
  3. Step 3: Cross multiply
    7,105.80x = 10,658.70 × 4,643.40
  4. Step 4: Simplify right side
    7,105.80x = 49,492,607.58
  5. Step 5: Solve for x
    x = 49,492,607.58/7,105.80
  6. Step 6: Final answer
    x = 6,965.10

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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.