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Finding the Fourth Proportional to 9,810.48, 14,699.48 and 6,849.84

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Solution

The fourth proportional to 9,810.48, 14,699.48 and 6,849.84 is: 10,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.48 : 14,699.48 = 6,849.84 : x
  2. Step 2: Convert to fraction form
    9,810.48/14,699.48 = 6,849.84/x
  3. Step 3: Cross multiply
    9,810.48x = 14,699.48 × 6,849.84
  4. Step 4: Simplify right side
    9,810.48x = 100,689,086.08
  5. Step 5: Solve for x
    x = 100,689,086.08/9,810.48
  6. Step 6: Final answer
    x = 10,263.42

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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.