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Finding the Fourth Proportional to 7,779.60, 10,735.92 and 4,636.08

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Solution

The fourth proportional to 7,779.60, 10,735.92 and 4,636.08 is: 6,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.60 : 10,735.92 = 4,636.08 : x
  2. Step 2: Convert to fraction form
    7,779.60/10,735.92 = 4,636.08/x
  3. Step 3: Cross multiply
    7,779.60x = 10,735.92 × 4,636.08
  4. Step 4: Simplify right side
    7,779.60x = 49,772,583.99
  5. Step 5: Solve for x
    x = 49,772,583.99/7,779.60
  6. Step 6: Final answer
    x = 6,397.83

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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.