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Finding the Fourth Proportional to 4,607.46, 6,866.51 and 4,459.86

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Solution

The fourth proportional to 4,607.46, 6,866.51 and 4,459.86 is: 6,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.46 : 6,866.51 = 4,459.86 : x
  2. Step 2: Convert to fraction form
    4,607.46/6,866.51 = 4,459.86/x
  3. Step 3: Cross multiply
    4,607.46x = 6,866.51 × 4,459.86
  4. Step 4: Simplify right side
    4,607.46x = 30,623,673.29
  5. Step 5: Solve for x
    x = 30,623,673.29/4,607.46
  6. Step 6: Final answer
    x = 6,646.54

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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.