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Finding the Fourth Proportional to 9,783.74, 13,497.10 and 5,802.59

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Solution

The fourth proportional to 9,783.74, 13,497.10 and 5,802.59 is: 8,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.74 : 13,497.10 = 5,802.59 : x
  2. Step 2: Convert to fraction form
    9,783.74/13,497.10 = 5,802.59/x
  3. Step 3: Cross multiply
    9,783.74x = 13,497.10 × 5,802.59
  4. Step 4: Simplify right side
    9,783.74x = 78,318,156.73
  5. Step 5: Solve for x
    x = 78,318,156.73/9,783.74
  6. Step 6: Final answer
    x = 8,004.93

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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.