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Finding the Fourth Proportional to 6,572.87, 9,070.55 and 4,215

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Solution

The fourth proportional to 6,572.87, 9,070.55 and 4,215 is: 5,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.87 : 9,070.55 = 4,215 : x
  2. Step 2: Convert to fraction form
    6,572.87/9,070.55 = 4,215/x
  3. Step 3: Cross multiply
    6,572.87x = 9,070.55 × 4,215
  4. Step 4: Simplify right side
    6,572.87x = 38,232,347.18
  5. Step 5: Solve for x
    x = 38,232,347.18/6,572.87
  6. Step 6: Final answer
    x = 5,816.69

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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.