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Finding the Fourth Proportional to 8,097.53, 12,127.48 and 7,816.93

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Solution

The fourth proportional to 8,097.53, 12,127.48 and 7,816.93 is: 11,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.53 : 12,127.48 = 7,816.93 : x
  2. Step 2: Convert to fraction form
    8,097.53/12,127.48 = 7,816.93/x
  3. Step 3: Cross multiply
    8,097.53x = 12,127.48 × 7,816.93
  4. Step 4: Simplify right side
    8,097.53x = 94,799,612.38
  5. Step 5: Solve for x
    x = 94,799,612.38/8,097.53
  6. Step 6: Final answer
    x = 11,707.22

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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.