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Finding the Fourth Proportional to 9,706.64, 14,563.37 and 4,779.74

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Solution

The fourth proportional to 9,706.64, 14,563.37 and 4,779.74 is: 7,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.64 : 14,563.37 = 4,779.74 : x
  2. Step 2: Convert to fraction form
    9,706.64/14,563.37 = 4,779.74/x
  3. Step 3: Cross multiply
    9,706.64x = 14,563.37 × 4,779.74
  4. Step 4: Simplify right side
    9,706.64x = 69,609,025.41
  5. Step 5: Solve for x
    x = 69,609,025.41/9,706.64
  6. Step 6: Final answer
    x = 7,171.28

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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.