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Finding the Fourth Proportional to 7,810.23, 10,774.40 and 4,824.99

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Solution

The fourth proportional to 7,810.23, 10,774.40 and 4,824.99 is: 6,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.23 : 10,774.40 = 4,824.99 : x
  2. Step 2: Convert to fraction form
    7,810.23/10,774.40 = 4,824.99/x
  3. Step 3: Cross multiply
    7,810.23x = 10,774.40 × 4,824.99
  4. Step 4: Simplify right side
    7,810.23x = 51,986,348.13
  5. Step 5: Solve for x
    x = 51,986,348.13/7,810.23
  6. Step 6: Final answer
    x = 6,656.19

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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.