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Finding the Fourth Proportional to 5,315.54, 7,966.47 and 4,655.84

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Solution

The fourth proportional to 5,315.54, 7,966.47 and 4,655.84 is: 6,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.54 : 7,966.47 = 4,655.84 : x
  2. Step 2: Convert to fraction form
    5,315.54/7,966.47 = 4,655.84/x
  3. Step 3: Cross multiply
    5,315.54x = 7,966.47 × 4,655.84
  4. Step 4: Simplify right side
    5,315.54x = 37,090,609.68
  5. Step 5: Solve for x
    x = 37,090,609.68/5,315.54
  6. Step 6: Final answer
    x = 6,977.77

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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.