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Finding the Fourth Proportional to 7,774.18, 10,730.68 and 7,377.35

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Solution

The fourth proportional to 7,774.18, 10,730.68 and 7,377.35 is: 10,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.18 : 10,730.68 = 7,377.35 : x
  2. Step 2: Convert to fraction form
    7,774.18/10,730.68 = 7,377.35/x
  3. Step 3: Cross multiply
    7,774.18x = 10,730.68 × 7,377.35
  4. Step 4: Simplify right side
    7,774.18x = 79,163,910.00
  5. Step 5: Solve for x
    x = 79,163,910.00/7,774.18
  6. Step 6: Final answer
    x = 10,182.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.