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Finding the Fourth Proportional to 13,465.96, 18,582.48 and 7,497.46

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Solution

The fourth proportional to 13,465.96, 18,582.48 and 7,497.46 is: 10,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.96 : 18,582.48 = 7,497.46 : x
  2. Step 2: Convert to fraction form
    13,465.96/18,582.48 = 7,497.46/x
  3. Step 3: Cross multiply
    13,465.96x = 18,582.48 × 7,497.46
  4. Step 4: Simplify right side
    13,465.96x = 139,321,400.50
  5. Step 5: Solve for x
    x = 139,321,400.50/13,465.96
  6. Step 6: Final answer
    x = 10,346.19

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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.