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Finding the Fourth Proportional to 9,283.95, 13,932.72 and 5,779.08

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Solution

The fourth proportional to 9,283.95, 13,932.72 and 5,779.08 is: 8,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.95 : 13,932.72 = 5,779.08 : x
  2. Step 2: Convert to fraction form
    9,283.95/13,932.72 = 5,779.08/x
  3. Step 3: Cross multiply
    9,283.95x = 13,932.72 × 5,779.08
  4. Step 4: Simplify right side
    9,283.95x = 80,518,303.50
  5. Step 5: Solve for x
    x = 80,518,303.50/9,283.95
  6. Step 6: Final answer
    x = 8,672.85

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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.