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Finding the Fourth Proportional to 5,637.76, 8,457.06 and 1,742.14

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Solution

The fourth proportional to 5,637.76, 8,457.06 and 1,742.14 is: 2,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.76 : 8,457.06 = 1,742.14 : x
  2. Step 2: Convert to fraction form
    5,637.76/8,457.06 = 1,742.14/x
  3. Step 3: Cross multiply
    5,637.76x = 8,457.06 × 1,742.14
  4. Step 4: Simplify right side
    5,637.76x = 14,733,382.51
  5. Step 5: Solve for x
    x = 14,733,382.51/5,637.76
  6. Step 6: Final answer
    x = 2,613.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.