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Finding the Fourth Proportional to 10,192.95, 14,064.12 and 6,840

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Solution

The fourth proportional to 10,192.95, 14,064.12 and 6,840 is: 9,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.95 : 14,064.12 = 6,840 : x
  2. Step 2: Convert to fraction form
    10,192.95/14,064.12 = 6,840/x
  3. Step 3: Cross multiply
    10,192.95x = 14,064.12 × 6,840
  4. Step 4: Simplify right side
    10,192.95x = 96,198,580.80
  5. Step 5: Solve for x
    x = 96,198,580.80/10,192.95
  6. Step 6: Final answer
    x = 9,437.76

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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.