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Finding the Fourth Proportional to 35,465.20, 53,205.60 and 10,507.20

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Solution

The fourth proportional to 35,465.20, 53,205.60 and 10,507.20 is: 15,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465.20 : 53,205.60 = 10,507.20 : x
  2. Step 2: Convert to fraction form
    35,465.20/53,205.60 = 10,507.20/x
  3. Step 3: Cross multiply
    35,465.20x = 53,205.60 × 10,507.20
  4. Step 4: Simplify right side
    35,465.20x = 559,041,880.32
  5. Step 5: Solve for x
    x = 559,041,880.32/35,465.20
  6. Step 6: Final answer
    x = 15,763.11

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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.