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Finding the Fourth Proportional to 9,653.02, 14,482.03 and 5,653.78

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Solution

The fourth proportional to 9,653.02, 14,482.03 and 5,653.78 is: 8,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.02 : 14,482.03 = 5,653.78 : x
  2. Step 2: Convert to fraction form
    9,653.02/14,482.03 = 5,653.78/x
  3. Step 3: Cross multiply
    9,653.02x = 14,482.03 × 5,653.78
  4. Step 4: Simplify right side
    9,653.02x = 81,878,211.57
  5. Step 5: Solve for x
    x = 81,878,211.57/9,653.02
  6. Step 6: Final answer
    x = 8,482.13

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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.