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Finding the Fourth Proportional to 7,160.99, 9,885.56 and 4,774.95

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Solution

The fourth proportional to 7,160.99, 9,885.56 and 4,774.95 is: 6,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.99 : 9,885.56 = 4,774.95 : x
  2. Step 2: Convert to fraction form
    7,160.99/9,885.56 = 4,774.95/x
  3. Step 3: Cross multiply
    7,160.99x = 9,885.56 × 4,774.95
  4. Step 4: Simplify right side
    7,160.99x = 47,203,057.71
  5. Step 5: Solve for x
    x = 47,203,057.71/7,160.99
  6. Step 6: Final answer
    x = 6,591.69

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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.