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Finding the Fourth Proportional to 7,597.51, 11,397.47 and 3,215

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Solution

The fourth proportional to 7,597.51, 11,397.47 and 3,215 is: 4,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.51 : 11,397.47 = 3,215 : x
  2. Step 2: Convert to fraction form
    7,597.51/11,397.47 = 3,215/x
  3. Step 3: Cross multiply
    7,597.51x = 11,397.47 × 3,215
  4. Step 4: Simplify right side
    7,597.51x = 36,642,866.05
  5. Step 5: Solve for x
    x = 36,642,866.05/7,597.51
  6. Step 6: Final answer
    x = 4,823.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.