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Finding the Fourth Proportional to 9,812.81, 13,543.54 and 5,621.06

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Solution

The fourth proportional to 9,812.81, 13,543.54 and 5,621.06 is: 7,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.81 : 13,543.54 = 5,621.06 : x
  2. Step 2: Convert to fraction form
    9,812.81/13,543.54 = 5,621.06/x
  3. Step 3: Cross multiply
    9,812.81x = 13,543.54 × 5,621.06
  4. Step 4: Simplify right side
    9,812.81x = 76,129,070.76
  5. Step 5: Solve for x
    x = 76,129,070.76/9,812.81
  6. Step 6: Final answer
    x = 7,758.13

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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.