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Finding the Fourth Proportional to 7,597.14, 10,489.68 and 4,946.01

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Solution

The fourth proportional to 7,597.14, 10,489.68 and 4,946.01 is: 6,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.14 : 10,489.68 = 4,946.01 : x
  2. Step 2: Convert to fraction form
    7,597.14/10,489.68 = 4,946.01/x
  3. Step 3: Cross multiply
    7,597.14x = 10,489.68 × 4,946.01
  4. Step 4: Simplify right side
    7,597.14x = 51,882,062.18
  5. Step 5: Solve for x
    x = 51,882,062.18/7,597.14
  6. Step 6: Final answer
    x = 6,829.16

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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.