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Finding the Fourth Proportional to 6,534.15, 9,784.80 and 5,074.32

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Solution

The fourth proportional to 6,534.15, 9,784.80 and 5,074.32 is: 7,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.15 : 9,784.80 = 5,074.32 : x
  2. Step 2: Convert to fraction form
    6,534.15/9,784.80 = 5,074.32/x
  3. Step 3: Cross multiply
    6,534.15x = 9,784.80 × 5,074.32
  4. Step 4: Simplify right side
    6,534.15x = 49,651,206.34
  5. Step 5: Solve for x
    x = 49,651,206.34/6,534.15
  6. Step 6: Final answer
    x = 7,598.72

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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.