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Finding the Fourth Proportional to 13,075.71, 18,043.95 and 7,107.24

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Solution

The fourth proportional to 13,075.71, 18,043.95 and 7,107.24 is: 9,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.71 : 18,043.95 = 7,107.24 : x
  2. Step 2: Convert to fraction form
    13,075.71/18,043.95 = 7,107.24/x
  3. Step 3: Cross multiply
    13,075.71x = 18,043.95 × 7,107.24
  4. Step 4: Simplify right side
    13,075.71x = 128,242,683.20
  5. Step 5: Solve for x
    x = 128,242,683.20/13,075.71
  6. Step 6: Final answer
    x = 9,807.70

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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.