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Finding the Fourth Proportional to 10,842.53, 14,960.02 and 6,810.02

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Solution

The fourth proportional to 10,842.53, 14,960.02 and 6,810.02 is: 9,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.53 : 14,960.02 = 6,810.02 : x
  2. Step 2: Convert to fraction form
    10,842.53/14,960.02 = 6,810.02/x
  3. Step 3: Cross multiply
    10,842.53x = 14,960.02 × 6,810.02
  4. Step 4: Simplify right side
    10,842.53x = 101,878,035.40
  5. Step 5: Solve for x
    x = 101,878,035.40/10,842.53
  6. Step 6: Final answer
    x = 9,396.15

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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.