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Finding the Fourth Proportional to 9,779.01, 13,491 and 5,798.67

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Solution

The fourth proportional to 9,779.01, 13,491 and 5,798.67 is: 7,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.01 : 13,491 = 5,798.67 : x
  2. Step 2: Convert to fraction form
    9,779.01/13,491 = 5,798.67/x
  3. Step 3: Cross multiply
    9,779.01x = 13,491 × 5,798.67
  4. Step 4: Simplify right side
    9,779.01x = 78,229,856.97
  5. Step 5: Solve for x
    x = 78,229,856.97/9,779.01
  6. Step 6: Final answer
    x = 7,999.77

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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.