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Finding the Fourth Proportional to 9,807.74, 13,532.64 and 5,827.40

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Solution

The fourth proportional to 9,807.74, 13,532.64 and 5,827.40 is: 8,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.74 : 13,532.64 = 5,827.40 : x
  2. Step 2: Convert to fraction form
    9,807.74/13,532.64 = 5,827.40/x
  3. Step 3: Cross multiply
    9,807.74x = 13,532.64 × 5,827.40
  4. Step 4: Simplify right side
    9,807.74x = 78,860,106.34
  5. Step 5: Solve for x
    x = 78,860,106.34/9,807.74
  6. Step 6: Final answer
    x = 8,040.60

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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.