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Finding the Fourth Proportional to 13,465.76, 18,583.29 and 7,497.05

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Solution

The fourth proportional to 13,465.76, 18,583.29 and 7,497.05 is: 10,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.76 : 18,583.29 = 7,497.05 : x
  2. Step 2: Convert to fraction form
    13,465.76/18,583.29 = 7,497.05/x
  3. Step 3: Cross multiply
    13,465.76x = 18,583.29 × 7,497.05
  4. Step 4: Simplify right side
    13,465.76x = 139,319,761.38
  5. Step 5: Solve for x
    x = 139,319,761.38/13,465.76
  6. Step 6: Final answer
    x = 10,346.23

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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.