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Finding the Fourth Proportional to 6,007.84, 8,290.54 and 3,355.19

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Solution

The fourth proportional to 6,007.84, 8,290.54 and 3,355.19 is: 4,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.84 : 8,290.54 = 3,355.19 : x
  2. Step 2: Convert to fraction form
    6,007.84/8,290.54 = 3,355.19/x
  3. Step 3: Cross multiply
    6,007.84x = 8,290.54 × 3,355.19
  4. Step 4: Simplify right side
    6,007.84x = 27,816,311.86
  5. Step 5: Solve for x
    x = 27,816,311.86/6,007.84
  6. Step 6: Final answer
    x = 4,630.00

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Half scale
Find fourth proportional to 12,015.68, 16,581.07 and 6,710.38
Double scale
Find fourth proportional to 6,008.84, 8,291.92 and 3,356.19
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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.