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Finding the Fourth Proportional to 6,848.71, 9,442.65 and 5,716.01

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Solution

The fourth proportional to 6,848.71, 9,442.65 and 5,716.01 is: 7,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.71 : 9,442.65 = 5,716.01 : x
  2. Step 2: Convert to fraction form
    6,848.71/9,442.65 = 5,716.01/x
  3. Step 3: Cross multiply
    6,848.71x = 9,442.65 × 5,716.01
  4. Step 4: Simplify right side
    6,848.71x = 53,974,206.03
  5. Step 5: Solve for x
    x = 53,974,206.03/6,848.71
  6. Step 6: Final answer
    x = 7,880.94

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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.