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Finding the Fourth Proportional to 7,539.71, 10,410 and 5,768.24

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Solution

The fourth proportional to 7,539.71, 10,410 and 5,768.24 is: 7,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.71 : 10,410 = 5,768.24 : x
  2. Step 2: Convert to fraction form
    7,539.71/10,410 = 5,768.24/x
  3. Step 3: Cross multiply
    7,539.71x = 10,410 × 5,768.24
  4. Step 4: Simplify right side
    7,539.71x = 60,047,378.40
  5. Step 5: Solve for x
    x = 60,047,378.40/7,539.71
  6. Step 6: Final answer
    x = 7,964.15

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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.