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Finding the Fourth Proportional to 9,779.10, 13,501.64 and 6,059.58

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Solution

The fourth proportional to 9,779.10, 13,501.64 and 6,059.58 is: 8,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.10 : 13,501.64 = 6,059.58 : x
  2. Step 2: Convert to fraction form
    9,779.10/13,501.64 = 6,059.58/x
  3. Step 3: Cross multiply
    9,779.10x = 13,501.64 × 6,059.58
  4. Step 4: Simplify right side
    9,779.10x = 81,814,267.71
  5. Step 5: Solve for x
    x = 81,814,267.71/9,779.10
  6. Step 6: Final answer
    x = 8,366.24

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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.