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Finding the Fourth Proportional to 10,768.84, 14,851.84 and 7,417.08

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Solution

The fourth proportional to 10,768.84, 14,851.84 and 7,417.08 is: 10,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.84 : 14,851.84 = 7,417.08 : x
  2. Step 2: Convert to fraction form
    10,768.84/14,851.84 = 7,417.08/x
  3. Step 3: Cross multiply
    10,768.84x = 14,851.84 × 7,417.08
  4. Step 4: Simplify right side
    10,768.84x = 110,157,285.43
  5. Step 5: Solve for x
    x = 110,157,285.43/10,768.84
  6. Step 6: Final answer
    x = 10,229.26

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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.