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Finding the Fourth Proportional to 10,495.44, 14,483.16 and 5,779.44

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Solution

The fourth proportional to 10,495.44, 14,483.16 and 5,779.44 is: 7,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.44 : 14,483.16 = 5,779.44 : x
  2. Step 2: Convert to fraction form
    10,495.44/14,483.16 = 5,779.44/x
  3. Step 3: Cross multiply
    10,495.44x = 14,483.16 × 5,779.44
  4. Step 4: Simplify right side
    10,495.44x = 83,704,554.23
  5. Step 5: Solve for x
    x = 83,704,554.23/10,495.44
  6. Step 6: Final answer
    x = 7,975.33

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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.