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Finding the Fourth Proportional to 7,547.58, 10,410.53 and 4,558.23

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Solution

The fourth proportional to 7,547.58, 10,410.53 and 4,558.23 is: 6,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.58 : 10,410.53 = 4,558.23 : x
  2. Step 2: Convert to fraction form
    7,547.58/10,410.53 = 4,558.23/x
  3. Step 3: Cross multiply
    7,547.58x = 10,410.53 × 4,558.23
  4. Step 4: Simplify right side
    7,547.58x = 47,453,567.37
  5. Step 5: Solve for x
    x = 47,453,567.37/7,547.58
  6. Step 6: Final answer
    x = 6,287.26

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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.