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Finding the Fourth Proportional to 13,113.70, 18,095.48 and 7,807.48

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Solution

The fourth proportional to 13,113.70, 18,095.48 and 7,807.48 is: 10,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.70 : 18,095.48 = 7,807.48 : x
  2. Step 2: Convert to fraction form
    13,113.70/18,095.48 = 7,807.48/x
  3. Step 3: Cross multiply
    13,113.70x = 18,095.48 × 7,807.48
  4. Step 4: Simplify right side
    13,113.70x = 141,280,098.19
  5. Step 5: Solve for x
    x = 141,280,098.19/13,113.70
  6. Step 6: Final answer
    x = 10,773.47

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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.