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Finding the Fourth Proportional to 13,461.97, 18,577.51 and 7,493.51

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Solution

The fourth proportional to 13,461.97, 18,577.51 and 7,493.51 is: 10,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.97 : 18,577.51 = 7,493.51 : x
  2. Step 2: Convert to fraction form
    13,461.97/18,577.51 = 7,493.51/x
  3. Step 3: Cross multiply
    13,461.97x = 18,577.51 × 7,493.51
  4. Step 4: Simplify right side
    13,461.97x = 139,210,756.96
  5. Step 5: Solve for x
    x = 139,210,756.96/13,461.97
  6. Step 6: Final answer
    x = 10,341.04

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Half scale
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Double scale
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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.