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Finding the Fourth Proportional to 9,714.40, 14,551.04 and 5,492.80

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Solution

The fourth proportional to 9,714.40, 14,551.04 and 5,492.80 is: 8,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.40 : 14,551.04 = 5,492.80 : x
  2. Step 2: Convert to fraction form
    9,714.40/14,551.04 = 5,492.80/x
  3. Step 3: Cross multiply
    9,714.40x = 14,551.04 × 5,492.80
  4. Step 4: Simplify right side
    9,714.40x = 79,925,952.51
  5. Step 5: Solve for x
    x = 79,925,952.51/9,714.40
  6. Step 6: Final answer
    x = 8,227.57

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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.