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Finding the Fourth Proportional to 9,357.76, 14,047.80 and 7,411.60

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Solution

The fourth proportional to 9,357.76, 14,047.80 and 7,411.60 is: 11,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.76 : 14,047.80 = 7,411.60 : x
  2. Step 2: Convert to fraction form
    9,357.76/14,047.80 = 7,411.60/x
  3. Step 3: Cross multiply
    9,357.76x = 14,047.80 × 7,411.60
  4. Step 4: Simplify right side
    9,357.76x = 104,116,674.48
  5. Step 5: Solve for x
    x = 104,116,674.48/9,357.76
  6. Step 6: Final answer
    x = 11,126.24

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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.