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Finding the Fourth Proportional to 6,477.71, 9,701.98 and 4,538.57

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Solution

The fourth proportional to 6,477.71, 9,701.98 and 4,538.57 is: 6,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.71 : 9,701.98 = 4,538.57 : x
  2. Step 2: Convert to fraction form
    6,477.71/9,701.98 = 4,538.57/x
  3. Step 3: Cross multiply
    6,477.71x = 9,701.98 × 4,538.57
  4. Step 4: Simplify right side
    6,477.71x = 44,033,055.51
  5. Step 5: Solve for x
    x = 44,033,055.51/6,477.71
  6. Step 6: Final answer
    x = 6,797.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.