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Finding the Fourth Proportional to 12,535.84, 17,302.54 and 7,503.01

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Solution

The fourth proportional to 12,535.84, 17,302.54 and 7,503.01 is: 10,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.84 : 17,302.54 = 7,503.01 : x
  2. Step 2: Convert to fraction form
    12,535.84/17,302.54 = 7,503.01/x
  3. Step 3: Cross multiply
    12,535.84x = 17,302.54 × 7,503.01
  4. Step 4: Simplify right side
    12,535.84x = 129,821,130.65
  5. Step 5: Solve for x
    x = 129,821,130.65/12,535.84
  6. Step 6: Final answer
    x = 10,356.00

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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.