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Finding the Fourth Proportional to 14,492.80, 20,003 and 9,457.84

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Solution

The fourth proportional to 14,492.80, 20,003 and 9,457.84 is: 13,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.80 : 20,003 = 9,457.84 : x
  2. Step 2: Convert to fraction form
    14,492.80/20,003 = 9,457.84/x
  3. Step 3: Cross multiply
    14,492.80x = 20,003 × 9,457.84
  4. Step 4: Simplify right side
    14,492.80x = 189,185,173.52
  5. Step 5: Solve for x
    x = 189,185,173.52/14,492.80
  6. Step 6: Final answer
    x = 13,053.74

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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.