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Finding the Fourth Proportional to 9,810.30, 13,528.98 and 7,568.64

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Solution

The fourth proportional to 9,810.30, 13,528.98 and 7,568.64 is: 10,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.30 : 13,528.98 = 7,568.64 : x
  2. Step 2: Convert to fraction form
    9,810.30/13,528.98 = 7,568.64/x
  3. Step 3: Cross multiply
    9,810.30x = 13,528.98 × 7,568.64
  4. Step 4: Simplify right side
    9,810.30x = 102,395,979.19
  5. Step 5: Solve for x
    x = 102,395,979.19/9,810.30
  6. Step 6: Final answer
    x = 10,437.60

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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.