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Finding the Fourth Proportional to 10,010.25, 13,798.10 and 6,779.05

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Solution

The fourth proportional to 10,010.25, 13,798.10 and 6,779.05 is: 9,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.25 : 13,798.10 = 6,779.05 : x
  2. Step 2: Convert to fraction form
    10,010.25/13,798.10 = 6,779.05/x
  3. Step 3: Cross multiply
    10,010.25x = 13,798.10 × 6,779.05
  4. Step 4: Simplify right side
    10,010.25x = 93,537,992.26
  5. Step 5: Solve for x
    x = 93,537,992.26/10,010.25
  6. Step 6: Final answer
    x = 9,344.22

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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.