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Finding the Fourth Proportional to 10,503.66, 15,760.98 and 6,804.93

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Solution

The fourth proportional to 10,503.66, 15,760.98 and 6,804.93 is: 10,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.66 : 15,760.98 = 6,804.93 : x
  2. Step 2: Convert to fraction form
    10,503.66/15,760.98 = 6,804.93/x
  3. Step 3: Cross multiply
    10,503.66x = 15,760.98 × 6,804.93
  4. Step 4: Simplify right side
    10,503.66x = 107,252,365.63
  5. Step 5: Solve for x
    x = 107,252,365.63/10,503.66
  6. Step 6: Final answer
    x = 10,210.95

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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.