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Finding the Fourth Proportional to 12,810.10, 17,675.25 and 7,776.97

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Solution

The fourth proportional to 12,810.10, 17,675.25 and 7,776.97 is: 10,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.10 : 17,675.25 = 7,776.97 : x
  2. Step 2: Convert to fraction form
    12,810.10/17,675.25 = 7,776.97/x
  3. Step 3: Cross multiply
    12,810.10x = 17,675.25 × 7,776.97
  4. Step 4: Simplify right side
    12,810.10x = 137,459,888.99
  5. Step 5: Solve for x
    x = 137,459,888.99/12,810.10
  6. Step 6: Final answer
    x = 10,730.59

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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.