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Finding the Fourth Proportional to 9,287.53, 12,817.02 and 5,038.77

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Solution

The fourth proportional to 9,287.53, 12,817.02 and 5,038.77 is: 6,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.53 : 12,817.02 = 5,038.77 : x
  2. Step 2: Convert to fraction form
    9,287.53/12,817.02 = 5,038.77/x
  3. Step 3: Cross multiply
    9,287.53x = 12,817.02 × 5,038.77
  4. Step 4: Simplify right side
    9,287.53x = 64,582,010.06
  5. Step 5: Solve for x
    x = 64,582,010.06/9,287.53
  6. Step 6: Final answer
    x = 6,953.63

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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.