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Finding the Fourth Proportional to 9,294.74, 12,826.45 and 5,045.60

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Solution

The fourth proportional to 9,294.74, 12,826.45 and 5,045.60 is: 6,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.74 : 12,826.45 = 5,045.60 : x
  2. Step 2: Convert to fraction form
    9,294.74/12,826.45 = 5,045.60/x
  3. Step 3: Cross multiply
    9,294.74x = 12,826.45 × 5,045.60
  4. Step 4: Simplify right side
    9,294.74x = 64,717,136.12
  5. Step 5: Solve for x
    x = 64,717,136.12/9,294.74
  6. Step 6: Final answer
    x = 6,962.77

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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.