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Finding the Fourth Proportional to 4,670.90, 7,006.25 and 1,160.92

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Solution

The fourth proportional to 4,670.90, 7,006.25 and 1,160.92 is: 1,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.90 : 7,006.25 = 1,160.92 : x
  2. Step 2: Convert to fraction form
    4,670.90/7,006.25 = 1,160.92/x
  3. Step 3: Cross multiply
    4,670.90x = 7,006.25 × 1,160.92
  4. Step 4: Simplify right side
    4,670.90x = 8,133,700.88
  5. Step 5: Solve for x
    x = 8,133,700.88/4,670.90
  6. Step 6: Final answer
    x = 1,741.35

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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.