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Finding the Fourth Proportional to 4,670.47, 7,005.30 and 1,550.40

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Solution

The fourth proportional to 4,670.47, 7,005.30 and 1,550.40 is: 2,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.47 : 7,005.30 = 1,550.40 : x
  2. Step 2: Convert to fraction form
    4,670.47/7,005.30 = 1,550.40/x
  3. Step 3: Cross multiply
    4,670.47x = 7,005.30 × 1,550.40
  4. Step 4: Simplify right side
    4,670.47x = 10,861,017.12
  5. Step 5: Solve for x
    x = 10,861,017.12/4,670.47
  6. Step 6: Final answer
    x = 2,325.47

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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.