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Finding the Fourth Proportional to 9,847.48, 14,763.54 and 4,914.64

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Solution

The fourth proportional to 9,847.48, 14,763.54 and 4,914.64 is: 7,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.48 : 14,763.54 = 4,914.64 : x
  2. Step 2: Convert to fraction form
    9,847.48/14,763.54 = 4,914.64/x
  3. Step 3: Cross multiply
    9,847.48x = 14,763.54 × 4,914.64
  4. Step 4: Simplify right side
    9,847.48x = 72,557,484.23
  5. Step 5: Solve for x
    x = 72,557,484.23/9,847.48
  6. Step 6: Final answer
    x = 7,368.13

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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.