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Finding the Fourth Proportional to 11,492.84, 15,859.08 and 6,457.04

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Solution

The fourth proportional to 11,492.84, 15,859.08 and 6,457.04 is: 8,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.84 : 15,859.08 = 6,457.04 : x
  2. Step 2: Convert to fraction form
    11,492.84/15,859.08 = 6,457.04/x
  3. Step 3: Cross multiply
    11,492.84x = 15,859.08 × 6,457.04
  4. Step 4: Simplify right side
    11,492.84x = 102,402,713.92
  5. Step 5: Solve for x
    x = 102,402,713.92/11,492.84
  6. Step 6: Final answer
    x = 8,910.13

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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.