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Finding the Fourth Proportional to 9,052.94, 12,492.90 and 5,074.40

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Solution

The fourth proportional to 9,052.94, 12,492.90 and 5,074.40 is: 7,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.94 : 12,492.90 = 5,074.40 : x
  2. Step 2: Convert to fraction form
    9,052.94/12,492.90 = 5,074.40/x
  3. Step 3: Cross multiply
    9,052.94x = 12,492.90 × 5,074.40
  4. Step 4: Simplify right side
    9,052.94x = 63,393,971.76
  5. Step 5: Solve for x
    x = 63,393,971.76/9,052.94
  6. Step 6: Final answer
    x = 7,002.58

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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.