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Finding the Fourth Proportional to 13,374.68, 18,457.72 and 7,407

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Solution

The fourth proportional to 13,374.68, 18,457.72 and 7,407 is: 10,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.68 : 18,457.72 = 7,407 : x
  2. Step 2: Convert to fraction form
    13,374.68/18,457.72 = 7,407/x
  3. Step 3: Cross multiply
    13,374.68x = 18,457.72 × 7,407
  4. Step 4: Simplify right side
    13,374.68x = 136,716,332.04
  5. Step 5: Solve for x
    x = 136,716,332.04/13,374.68
  6. Step 6: Final answer
    x = 10,222.03

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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.