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Finding the Fourth Proportional to 9,820.54, 14,728.10 and 6,699.95

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Solution

The fourth proportional to 9,820.54, 14,728.10 and 6,699.95 is: 10,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.54 : 14,728.10 = 6,699.95 : x
  2. Step 2: Convert to fraction form
    9,820.54/14,728.10 = 6,699.95/x
  3. Step 3: Cross multiply
    9,820.54x = 14,728.10 × 6,699.95
  4. Step 4: Simplify right side
    9,820.54x = 98,677,459.95
  5. Step 5: Solve for x
    x = 98,677,459.95/9,820.54
  6. Step 6: Final answer
    x = 10,048.07

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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.