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Finding the Fourth Proportional to 7,095.96, 9,784.08 and 4,858.92

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Solution

The fourth proportional to 7,095.96, 9,784.08 and 4,858.92 is: 6,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.96 : 9,784.08 = 4,858.92 : x
  2. Step 2: Convert to fraction form
    7,095.96/9,784.08 = 4,858.92/x
  3. Step 3: Cross multiply
    7,095.96x = 9,784.08 × 4,858.92
  4. Step 4: Simplify right side
    7,095.96x = 47,540,061.99
  5. Step 5: Solve for x
    x = 47,540,061.99/7,095.96
  6. Step 6: Final answer
    x = 6,699.60

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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.