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Finding the Fourth Proportional to 6,547.52, 9,813.48 and 4,562.40

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Solution

The fourth proportional to 6,547.52, 9,813.48 and 4,562.40 is: 6,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.52 : 9,813.48 = 4,562.40 : x
  2. Step 2: Convert to fraction form
    6,547.52/9,813.48 = 4,562.40/x
  3. Step 3: Cross multiply
    6,547.52x = 9,813.48 × 4,562.40
  4. Step 4: Simplify right side
    6,547.52x = 44,773,009.75
  5. Step 5: Solve for x
    x = 44,773,009.75/6,547.52
  6. Step 6: Final answer
    x = 6,838.16

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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.