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Finding the Fourth Proportional to 9,762.40, 14,624.40 and 9,071.20

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Solution

The fourth proportional to 9,762.40, 14,624.40 and 9,071.20 is: 13,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.40 : 14,624.40 = 9,071.20 : x
  2. Step 2: Convert to fraction form
    9,762.40/14,624.40 = 9,071.20/x
  3. Step 3: Cross multiply
    9,762.40x = 14,624.40 × 9,071.20
  4. Step 4: Simplify right side
    9,762.40x = 132,660,857.28
  5. Step 5: Solve for x
    x = 132,660,857.28/9,762.40
  6. Step 6: Final answer
    x = 13,588.96

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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.