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Finding the Fourth Proportional to 9,471.53, 13,055.83 and 6,482.18

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Solution

The fourth proportional to 9,471.53, 13,055.83 and 6,482.18 is: 8,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.53 : 13,055.83 = 6,482.18 : x
  2. Step 2: Convert to fraction form
    9,471.53/13,055.83 = 6,482.18/x
  3. Step 3: Cross multiply
    9,471.53x = 13,055.83 × 6,482.18
  4. Step 4: Simplify right side
    9,471.53x = 84,630,219.57
  5. Step 5: Solve for x
    x = 84,630,219.57/9,471.53
  6. Step 6: Final answer
    x = 8,935.22

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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.