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Finding the Fourth Proportional to 7,031.65, 9,693.69 and 5,016.07

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Solution

The fourth proportional to 7,031.65, 9,693.69 and 5,016.07 is: 6,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.65 : 9,693.69 = 5,016.07 : x
  2. Step 2: Convert to fraction form
    7,031.65/9,693.69 = 5,016.07/x
  3. Step 3: Cross multiply
    7,031.65x = 9,693.69 × 5,016.07
  4. Step 4: Simplify right side
    7,031.65x = 48,624,227.60
  5. Step 5: Solve for x
    x = 48,624,227.60/7,031.65
  6. Step 6: Final answer
    x = 6,915.05

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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.