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Finding the Fourth Proportional to 30,564.16, 45,846.88 and 9,787.60

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Solution

The fourth proportional to 30,564.16, 45,846.88 and 9,787.60 is: 14,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.16 : 45,846.88 = 9,787.60 : x
  2. Step 2: Convert to fraction form
    30,564.16/45,846.88 = 9,787.60/x
  3. Step 3: Cross multiply
    30,564.16x = 45,846.88 × 9,787.60
  4. Step 4: Simplify right side
    30,564.16x = 448,730,922.69
  5. Step 5: Solve for x
    x = 448,730,922.69/30,564.16
  6. Step 6: Final answer
    x = 14,681.60

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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.