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Finding the Fourth Proportional to 6,458.84, 9,673.62 and 6,313.04

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Solution

The fourth proportional to 6,458.84, 9,673.62 and 6,313.04 is: 9,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.84 : 9,673.62 = 6,313.04 : x
  2. Step 2: Convert to fraction form
    6,458.84/9,673.62 = 6,313.04/x
  3. Step 3: Cross multiply
    6,458.84x = 9,673.62 × 6,313.04
  4. Step 4: Simplify right side
    6,458.84x = 61,069,950.00
  5. Step 5: Solve for x
    x = 61,069,950.00/6,458.84
  6. Step 6: Final answer
    x = 9,455.25

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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.