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Finding the Fourth Proportional to 4,678.16, 6,983.14 and 4,066.32

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Solution

The fourth proportional to 4,678.16, 6,983.14 and 4,066.32 is: 6,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.16 : 6,983.14 = 4,066.32 : x
  2. Step 2: Convert to fraction form
    4,678.16/6,983.14 = 4,066.32/x
  3. Step 3: Cross multiply
    4,678.16x = 6,983.14 × 4,066.32
  4. Step 4: Simplify right side
    4,678.16x = 28,395,681.84
  5. Step 5: Solve for x
    x = 28,395,681.84/4,678.16
  6. Step 6: Final answer
    x = 6,069.84

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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.