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Finding the Fourth Proportional to 7,102.60, 10,653.90 and 6,616.60

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Solution

The fourth proportional to 7,102.60, 10,653.90 and 6,616.60 is: 9,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.60 : 10,653.90 = 6,616.60 : x
  2. Step 2: Convert to fraction form
    7,102.60/10,653.90 = 6,616.60/x
  3. Step 3: Cross multiply
    7,102.60x = 10,653.90 × 6,616.60
  4. Step 4: Simplify right side
    7,102.60x = 70,492,594.74
  5. Step 5: Solve for x
    x = 70,492,594.74/7,102.60
  6. Step 6: Final answer
    x = 9,924.90

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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.