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Finding the Fourth Proportional to 9,703.52, 14,555.16 and 4,152.14

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Solution

The fourth proportional to 9,703.52, 14,555.16 and 4,152.14 is: 6,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.52 : 14,555.16 = 4,152.14 : x
  2. Step 2: Convert to fraction form
    9,703.52/14,555.16 = 4,152.14/x
  3. Step 3: Cross multiply
    9,703.52x = 14,555.16 × 4,152.14
  4. Step 4: Simplify right side
    9,703.52x = 60,435,062.04
  5. Step 5: Solve for x
    x = 60,435,062.04/9,703.52
  6. Step 6: Final answer
    x = 6,228.16

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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.