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Finding the Fourth Proportional to 7,575.90, 10,455.93 and 7,330.02

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Solution

The fourth proportional to 7,575.90, 10,455.93 and 7,330.02 is: 10,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.90 : 10,455.93 = 7,330.02 : x
  2. Step 2: Convert to fraction form
    7,575.90/10,455.93 = 7,330.02/x
  3. Step 3: Cross multiply
    7,575.90x = 10,455.93 × 7,330.02
  4. Step 4: Simplify right side
    7,575.90x = 76,642,176.02
  5. Step 5: Solve for x
    x = 76,642,176.02/7,575.90
  6. Step 6: Final answer
    x = 10,116.58

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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.