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Finding the Fourth Proportional to 9,779.64, 13,493.34 and 5,801.64

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Solution

The fourth proportional to 9,779.64, 13,493.34 and 5,801.64 is: 8,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.64 : 13,493.34 = 5,801.64 : x
  2. Step 2: Convert to fraction form
    9,779.64/13,493.34 = 5,801.64/x
  3. Step 3: Cross multiply
    9,779.64x = 13,493.34 × 5,801.64
  4. Step 4: Simplify right side
    9,779.64x = 78,283,501.08
  5. Step 5: Solve for x
    x = 78,283,501.08/9,779.64
  6. Step 6: Final answer
    x = 8,004.74

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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.