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Finding the Fourth Proportional to 6,465.54, 9,699.12 and 3,178.74

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Solution

The fourth proportional to 6,465.54, 9,699.12 and 3,178.74 is: 4,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.54 : 9,699.12 = 3,178.74 : x
  2. Step 2: Convert to fraction form
    6,465.54/9,699.12 = 3,178.74/x
  3. Step 3: Cross multiply
    6,465.54x = 9,699.12 × 3,178.74
  4. Step 4: Simplify right side
    6,465.54x = 30,830,980.71
  5. Step 5: Solve for x
    x = 30,830,980.71/6,465.54
  6. Step 6: Final answer
    x = 4,768.51

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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.