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Finding the Fourth Proportional to 6,598.51, 9,106.07 and 3,614.16

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Solution

The fourth proportional to 6,598.51, 9,106.07 and 3,614.16 is: 4,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.51 : 9,106.07 = 3,614.16 : x
  2. Step 2: Convert to fraction form
    6,598.51/9,106.07 = 3,614.16/x
  3. Step 3: Cross multiply
    6,598.51x = 9,106.07 × 3,614.16
  4. Step 4: Simplify right side
    6,598.51x = 32,910,751.08
  5. Step 5: Solve for x
    x = 32,910,751.08/6,598.51
  6. Step 6: Final answer
    x = 4,987.60

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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.