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Finding the Fourth Proportional to 9,585.59, 14,378.38 and 4,391.46

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Solution

The fourth proportional to 9,585.59, 14,378.38 and 4,391.46 is: 6,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.59 : 14,378.38 = 4,391.46 : x
  2. Step 2: Convert to fraction form
    9,585.59/14,378.38 = 4,391.46/x
  3. Step 3: Cross multiply
    9,585.59x = 14,378.38 × 4,391.46
  4. Step 4: Simplify right side
    9,585.59x = 63,142,069.66
  5. Step 5: Solve for x
    x = 63,142,069.66/9,585.59
  6. Step 6: Final answer
    x = 6,587.19

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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.