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Finding the Fourth Proportional to 7,892.10, 10,891.15 and 4,307.08

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Solution

The fourth proportional to 7,892.10, 10,891.15 and 4,307.08 is: 5,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.10 : 10,891.15 = 4,307.08 : x
  2. Step 2: Convert to fraction form
    7,892.10/10,891.15 = 4,307.08/x
  3. Step 3: Cross multiply
    7,892.10x = 10,891.15 × 4,307.08
  4. Step 4: Simplify right side
    7,892.10x = 46,909,065.11
  5. Step 5: Solve for x
    x = 46,909,065.11/7,892.10
  6. Step 6: Final answer
    x = 5,943.80

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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.