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Finding the Fourth Proportional to 9,779.64, 14,660.46 and 3,538.20

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Solution

The fourth proportional to 9,779.64, 14,660.46 and 3,538.20 is: 5,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.64 : 14,660.46 = 3,538.20 : x
  2. Step 2: Convert to fraction form
    9,779.64/14,660.46 = 3,538.20/x
  3. Step 3: Cross multiply
    9,779.64x = 14,660.46 × 3,538.20
  4. Step 4: Simplify right side
    9,779.64x = 51,871,639.57
  5. Step 5: Solve for x
    x = 51,871,639.57/9,779.64
  6. Step 6: Final answer
    x = 5,304.04

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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.