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Finding the Fourth Proportional to 7,086.94, 9,782.62 and 6,088.20

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Solution

The fourth proportional to 7,086.94, 9,782.62 and 6,088.20 is: 8,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.94 : 9,782.62 = 6,088.20 : x
  2. Step 2: Convert to fraction form
    7,086.94/9,782.62 = 6,088.20/x
  3. Step 3: Cross multiply
    7,086.94x = 9,782.62 × 6,088.20
  4. Step 4: Simplify right side
    7,086.94x = 59,558,547.08
  5. Step 5: Solve for x
    x = 59,558,547.08/7,086.94
  6. Step 6: Final answer
    x = 8,403.99

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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.