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Finding the Fourth Proportional to 6,482.66, 8,946.02 and 3,688.16

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Solution

The fourth proportional to 6,482.66, 8,946.02 and 3,688.16 is: 5,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.66 : 8,946.02 = 3,688.16 : x
  2. Step 2: Convert to fraction form
    6,482.66/8,946.02 = 3,688.16/x
  3. Step 3: Cross multiply
    6,482.66x = 8,946.02 × 3,688.16
  4. Step 4: Simplify right side
    6,482.66x = 32,994,353.12
  5. Step 5: Solve for x
    x = 32,994,353.12/6,482.66
  6. Step 6: Final answer
    x = 5,089.63

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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.