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Finding the Fourth Proportional to 9,784.76, 13,505.16 and 7,656.08

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Solution

The fourth proportional to 9,784.76, 13,505.16 and 7,656.08 is: 10,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.76 : 13,505.16 = 7,656.08 : x
  2. Step 2: Convert to fraction form
    9,784.76/13,505.16 = 7,656.08/x
  3. Step 3: Cross multiply
    9,784.76x = 13,505.16 × 7,656.08
  4. Step 4: Simplify right side
    9,784.76x = 103,396,585.37
  5. Step 5: Solve for x
    x = 103,396,585.37/9,784.76
  6. Step 6: Final answer
    x = 10,567.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.