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Finding the Fourth Proportional to 7,294.30, 10,946.85 and 4,828.30

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Solution

The fourth proportional to 7,294.30, 10,946.85 and 4,828.30 is: 7,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.30 : 10,946.85 = 4,828.30 : x
  2. Step 2: Convert to fraction form
    7,294.30/10,946.85 = 4,828.30/x
  3. Step 3: Cross multiply
    7,294.30x = 10,946.85 × 4,828.30
  4. Step 4: Simplify right side
    7,294.30x = 52,854,675.86
  5. Step 5: Solve for x
    x = 52,854,675.86/7,294.30
  6. Step 6: Final answer
    x = 7,246.02

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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.