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Finding the Fourth Proportional to 7,681.81, 10,597.66 and 4,696.69

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Solution

The fourth proportional to 7,681.81, 10,597.66 and 4,696.69 is: 6,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.81 : 10,597.66 = 4,696.69 : x
  2. Step 2: Convert to fraction form
    7,681.81/10,597.66 = 4,696.69/x
  3. Step 3: Cross multiply
    7,681.81x = 10,597.66 × 4,696.69
  4. Step 4: Simplify right side
    7,681.81x = 49,773,923.75
  5. Step 5: Solve for x
    x = 49,773,923.75/7,681.81
  6. Step 6: Final answer
    x = 6,479.45

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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.