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Finding the Fourth Proportional to 4,607.36, 6,357 and 3,663.20

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Solution

The fourth proportional to 4,607.36, 6,357 and 3,663.20 is: 5,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.36 : 6,357 = 3,663.20 : x
  2. Step 2: Convert to fraction form
    4,607.36/6,357 = 3,663.20/x
  3. Step 3: Cross multiply
    4,607.36x = 6,357 × 3,663.20
  4. Step 4: Simplify right side
    4,607.36x = 23,286,962.40
  5. Step 5: Solve for x
    x = 23,286,962.40/4,607.36
  6. Step 6: Final answer
    x = 5,054.30

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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.