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Finding the Fourth Proportional to 6,482.16, 9,728.10 and 4,607.82

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Solution

The fourth proportional to 6,482.16, 9,728.10 and 4,607.82 is: 6,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.16 : 9,728.10 = 4,607.82 : x
  2. Step 2: Convert to fraction form
    6,482.16/9,728.10 = 4,607.82/x
  3. Step 3: Cross multiply
    6,482.16x = 9,728.10 × 4,607.82
  4. Step 4: Simplify right side
    6,482.16x = 44,825,333.74
  5. Step 5: Solve for x
    x = 44,825,333.74/6,482.16
  6. Step 6: Final answer
    x = 6,915.18

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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.