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Finding the Fourth Proportional to 9,856.80, 14,752.80 and 7,653.60

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Solution

The fourth proportional to 9,856.80, 14,752.80 and 7,653.60 is: 11,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.80 : 14,752.80 = 7,653.60 : x
  2. Step 2: Convert to fraction form
    9,856.80/14,752.80 = 7,653.60/x
  3. Step 3: Cross multiply
    9,856.80x = 14,752.80 × 7,653.60
  4. Step 4: Simplify right side
    9,856.80x = 112,912,030.08
  5. Step 5: Solve for x
    x = 112,912,030.08/9,856.80
  6. Step 6: Final answer
    x = 11,455.24

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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.