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Finding the Fourth Proportional to 6,415.61, 9,570.74 and 5,968.17

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Solution

The fourth proportional to 6,415.61, 9,570.74 and 5,968.17 is: 8,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.61 : 9,570.74 = 5,968.17 : x
  2. Step 2: Convert to fraction form
    6,415.61/9,570.74 = 5,968.17/x
  3. Step 3: Cross multiply
    6,415.61x = 9,570.74 × 5,968.17
  4. Step 4: Simplify right side
    6,415.61x = 57,119,773.50
  5. Step 5: Solve for x
    x = 57,119,773.50/6,415.61
  6. Step 6: Final answer
    x = 8,903.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.