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Finding the Fourth Proportional to 9,693.95, 14,535.09 and 4,356.15

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Solution

The fourth proportional to 9,693.95, 14,535.09 and 4,356.15 is: 6,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.95 : 14,535.09 = 4,356.15 : x
  2. Step 2: Convert to fraction form
    9,693.95/14,535.09 = 4,356.15/x
  3. Step 3: Cross multiply
    9,693.95x = 14,535.09 × 4,356.15
  4. Step 4: Simplify right side
    9,693.95x = 63,317,047.31
  5. Step 5: Solve for x
    x = 63,317,047.31/9,693.95
  6. Step 6: Final answer
    x = 6,531.60

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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.