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Finding the Fourth Proportional to 13,075.16, 18,043.74 and 7,106.90

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Solution

The fourth proportional to 13,075.16, 18,043.74 and 7,106.90 is: 9,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.16 : 18,043.74 = 7,106.90 : x
  2. Step 2: Convert to fraction form
    13,075.16/18,043.74 = 7,106.90/x
  3. Step 3: Cross multiply
    13,075.16x = 18,043.74 × 7,106.90
  4. Step 4: Simplify right side
    13,075.16x = 128,235,055.81
  5. Step 5: Solve for x
    x = 128,235,055.81/13,075.16
  6. Step 6: Final answer
    x = 9,807.53

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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.