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Finding the Fourth Proportional to 9,713.12, 14,537.28 and 7,033.64

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Solution

The fourth proportional to 9,713.12, 14,537.28 and 7,033.64 is: 10,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.12 : 14,537.28 = 7,033.64 : x
  2. Step 2: Convert to fraction form
    9,713.12/14,537.28 = 7,033.64/x
  3. Step 3: Cross multiply
    9,713.12x = 14,537.28 × 7,033.64
  4. Step 4: Simplify right side
    9,713.12x = 102,249,994.10
  5. Step 5: Solve for x
    x = 102,249,994.10/9,713.12
  6. Step 6: Final answer
    x = 10,527.00

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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.