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Finding the Fourth Proportional to 15,328.92, 22,973.52 and 6,434.16

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Solution

The fourth proportional to 15,328.92, 22,973.52 and 6,434.16 is: 9,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,328.92 : 22,973.52 = 6,434.16 : x
  2. Step 2: Convert to fraction form
    15,328.92/22,973.52 = 6,434.16/x
  3. Step 3: Cross multiply
    15,328.92x = 22,973.52 × 6,434.16
  4. Step 4: Simplify right side
    15,328.92x = 147,815,303.44
  5. Step 5: Solve for x
    x = 147,815,303.44/15,328.92
  6. Step 6: Final answer
    x = 9,642.90

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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.