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Finding the Fourth Proportional to 7,833.90, 10,807.10 and 4,848.64

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Solution

The fourth proportional to 7,833.90, 10,807.10 and 4,848.64 is: 6,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.90 : 10,807.10 = 4,848.64 : x
  2. Step 2: Convert to fraction form
    7,833.90/10,807.10 = 4,848.64/x
  3. Step 3: Cross multiply
    7,833.90x = 10,807.10 × 4,848.64
  4. Step 4: Simplify right side
    7,833.90x = 52,399,737.34
  5. Step 5: Solve for x
    x = 52,399,737.34/7,833.90
  6. Step 6: Final answer
    x = 6,688.84

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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.